http://www.physicsbook.gatech.edu/api.php?action=feedcontributions&feedformat=atom&user=Skim883 2026-04-29T13:28:41Z User contributions MediaWiki 1.42.7 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24717 2016-11-27T06:31:11Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> Our ancestors have used inclined plane since prehistoric times to move heavy objects. <br /> The most famous artifact that is believed to be constructed using inclined plane is Stonehenge, Pyramids.<br /> [[File:Stonehenge.png]]&lt;br&gt;<br /> [[File:Pyramids.png]]<br /> <br /> Inclined Plane was treated as a simple machine till Renaissance.&lt;br&gt;<br /> Leonardo Da Vinci found out the first elementary of sliding friction in inclined plane.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt; (in this case, &lt;math&gt;\sin \theta = \frac {\text{Rise}}{\text{Length}} \,&lt;/math&gt;)<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt; (in this case, &lt;math&gt;\phi = \tan^{-1} \mu \,&lt;/math&gt;)&lt;br&gt;<br /> :&lt;math&gt;\theta &lt; \phi\,&lt;/math&gt;: Downhill applied force is needed.&lt;br&gt;<br /> :&lt;math&gt;\theta = \phi\,&lt;/math&gt;: Infinite mechanical advantage.&lt;br&gt;<br /> :&lt;math&gt;\theta &gt; \phi\,&lt;/math&gt;: The mechanical advantage is positive. Uphill force is needed.&lt;br&gt;<br /> <br /> ==See Also==<br /> <br /> [http://www.physicsbook.gatech.edu/Free_Body_Diagram Free Body Diagram]&lt;br&gt;<br /> [http://www.physicsbook.gatech.edu/Compression_or_Normal_Force Normal Force]<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24716 2016-11-27T06:30:58Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> Our ancestors have used inclined plane since prehistoric times to move heavy objects. <br /> The most famous artifact that is believed to be constructed using inclined plane is Stonehenge, Pyramids.<br /> [[File:Stonehenge.png]]&lt;br&gt;<br /> [[File:Pyramids.png]]<br /> <br /> Inclined Plane was treated as a simple machine till Renaissance.&lt;br&gt;<br /> Leonardo Da Vinci found out the first elementary of sliding friction in inclined plane.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt; (in this case, &lt;math&gt;\sin \theta = \frac {\text{Rise}}{\text{Length}} \,&lt;/math&gt;)<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt; (in this case, &lt;math&gt;\phi = \tan^{-1} \mu \,&lt;/math&gt;)&lt;br&gt;<br /> &lt;math&gt;\theta &lt; \phi\,&lt;/math&gt;: Downhill applied force is needed.&lt;br&gt;<br /> &lt;math&gt;\theta = \phi\,&lt;/math&gt;: Infinite mechanical advantage.&lt;br&gt;<br /> &lt;math&gt;\theta &gt; \phi\,&lt;/math&gt;: The mechanical advantage is positive. Uphill force is needed.&lt;br&gt;<br /> <br /> ==See Also==<br /> <br /> [http://www.physicsbook.gatech.edu/Free_Body_Diagram Free Body Diagram]&lt;br&gt;<br /> [http://www.physicsbook.gatech.edu/Compression_or_Normal_Force Normal Force]<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24715 2016-11-27T06:30:32Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> Our ancestors have used inclined plane since prehistoric times to move heavy objects. <br /> The most famous artifact that is believed to be constructed using inclined plane is Stonehenge, Pyramids.<br /> [[File:Stonehenge.png]]&lt;br&gt;<br /> [[File:Pyramids.png]]<br /> <br /> Inclined Plane was treated as a simple machine till Renaissance.&lt;br&gt;<br /> Leonardo Da Vinci found out the first elementary of sliding friction in inclined plane.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt; (in this case, &lt;math&gt;\sin \theta = \frac {\text{Rise}}{\text{Length}} \,&lt;/math&gt;)<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt; (in this case, &lt;math&gt;\phi = \tan^{-1} \mu \,&lt;/math&gt;)&lt;br&gt;<br /> :#&lt;math&gt;\theta &lt; \phi\,&lt;/math&gt;: Downhill applied force is needed.&lt;br&gt;<br /> :#&lt;math&gt;\theta = \phi\,&lt;/math&gt;: The '[[angle of repose]]'. Infinite mechanical advantage.&lt;br&gt;<br /> :#&lt;math&gt;\theta &gt; \phi\,&lt;/math&gt;: The mechanical advantage is positive. Uphill force is needed.&lt;br&gt;<br /> <br /> ==See Also==<br /> <br /> [http://www.physicsbook.gatech.edu/Free_Body_Diagram Free Body Diagram]&lt;br&gt;<br /> [http://www.physicsbook.gatech.edu/Compression_or_Normal_Force Normal Force]<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24713 2016-11-27T06:27:50Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> Our ancestors have used inclined plane since prehistoric times to move heavy objects. <br /> The most famous artifact that is believed to be constructed using inclined plane is Stonehenge, Pyramids.<br /> [[File:Stonehenge.png]]&lt;br&gt;<br /> [[File:Pyramids.png]]<br /> <br /> Inclined Plane was treated as a simple machine till Renaissance.&lt;br&gt;<br /> Leonardo Da Vinci found out the first elementary of sliding friction in inclined plane.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt; (in this case, &lt;math&gt;\sin \theta = \frac {\text{Rise}}{\text{Length}} \,&lt;/math&gt;)<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt; (in this case, &lt;math&gt;\phi = \tan^{-1} \mu \,&lt;/math&gt;)<br /> <br /> ==See Also==<br /> <br /> [http://www.physicsbook.gatech.edu/Free_Body_Diagram Free Body Diagram]&lt;br&gt;<br /> [http://www.physicsbook.gatech.edu/Compression_or_Normal_Force Normal Force]<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24712 2016-11-27T06:27:37Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> Our ancestors have used inclined plane since prehistoric times to move heavy objects. <br /> The most famous artifact that is believed to be constructed using inclined plane is Stonehenge, Pyramids.<br /> [[File:Stonehenge.png]]&lt;br&gt;<br /> [[File:Pyramids.png]]<br /> <br /> Inclined Plane was treated as a simple machine till Renaissance.&lt;br&gt;<br /> Leonardo Da Vinci found out the first elementary of sliding friction in inclined plane.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt; (in this case, :&lt;math&gt;\sin \theta = \frac {\text{Rise}}{\text{Length}} \,&lt;/math&gt;)<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt; (in this case, &lt;math&gt;\phi = \tan^{-1} \mu \,&lt;/math&gt;)<br /> <br /> ==See Also==<br /> <br /> [http://www.physicsbook.gatech.edu/Free_Body_Diagram Free Body Diagram]&lt;br&gt;<br /> [http://www.physicsbook.gatech.edu/Compression_or_Normal_Force Normal Force]<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24711 2016-11-27T06:26:54Z

<p>Skim883: /* See Also */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> Our ancestors have used inclined plane since prehistoric times to move heavy objects. <br /> The most famous artifact that is believed to be constructed using inclined plane is Stonehenge, Pyramids.<br /> [[File:Stonehenge.png]]&lt;br&gt;<br /> [[File:Pyramids.png]]<br /> <br /> Inclined Plane was treated as a simple machine till Renaissance.&lt;br&gt;<br /> Leonardo Da Vinci found out the first elementary of sliding friction in inclined plane.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt;<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt; (in this case, &lt;math&gt;\phi = \tan^{-1} \mu \,&lt;/math&gt;)<br /> <br /> ==See Also==<br /> <br /> [http://www.physicsbook.gatech.edu/Free_Body_Diagram Free Body Diagram]&lt;br&gt;<br /> [http://www.physicsbook.gatech.edu/Compression_or_Normal_Force Normal Force]<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24710 2016-11-27T06:23:37Z

<p>Skim883: /* See Also */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> Our ancestors have used inclined plane since prehistoric times to move heavy objects. <br /> The most famous artifact that is believed to be constructed using inclined plane is Stonehenge, Pyramids.<br /> [[File:Stonehenge.png]]&lt;br&gt;<br /> [[File:Pyramids.png]]<br /> <br /> Inclined Plane was treated as a simple machine till Renaissance.&lt;br&gt;<br /> Leonardo Da Vinci found out the first elementary of sliding friction in inclined plane.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt;<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt; (in this case, &lt;math&gt;\phi = \tan^{-1} \mu \,&lt;/math&gt;)<br /> <br /> ==See Also==<br /> <br /> [http://www.physicsbook.gatech.edu/Free_Body_Diagram Free Body Diagram]<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24709 2016-11-27T06:22:57Z

<p>Skim883: </p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> Our ancestors have used inclined plane since prehistoric times to move heavy objects. <br /> The most famous artifact that is believed to be constructed using inclined plane is Stonehenge, Pyramids.<br /> [[File:Stonehenge.png]]&lt;br&gt;<br /> [[File:Pyramids.png]]<br /> <br /> Inclined Plane was treated as a simple machine till Renaissance.&lt;br&gt;<br /> Leonardo Da Vinci found out the first elementary of sliding friction in inclined plane.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt;<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt; (in this case, &lt;math&gt;\phi = \tan^{-1} \mu \,&lt;/math&gt;)<br /> <br /> ==See Also==<br /> <br /> [http://www.example.com link title]<br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24707 2016-11-27T06:20:23Z

<p>Skim883: /* History */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> Our ancestors have used inclined plane since prehistoric times to move heavy objects. <br /> The most famous artifact that is believed to be constructed using inclined plane is Stonehenge, Pyramids.<br /> [[File:Stonehenge.png]]&lt;br&gt;<br /> [[File:Pyramids.png]]<br /> <br /> Inclined Plane was treated as a simple machine till Renaissance.&lt;br&gt;<br /> Leonardo Da Vinci found out the first elementary of sliding friction in inclined plane.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt;<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt; (in this case, &lt;math&gt;\phi = \tan^{-1} \mu \,&lt;/math&gt;)<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24706 2016-11-27T06:18:04Z

<p>Skim883: /* History */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> Our ancestors have used inclined plane since prehistoric times to move heavy objects. <br /> The most famous artifact that is believed to be constructed using inclined plane is Stonehenge, Pyramids.<br /> [[File:Stonehenge.png]]&lt;br&gt;<br /> [[File:Pyramids.png]]<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt;<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt; (in this case, &lt;math&gt;\phi = \tan^{-1} \mu \,&lt;/math&gt;)<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=File:Pyramids.png&diff=24705 2016-11-27T06:17:24Z

<p>Skim883: </p> <hr /> <div></div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=File:Stonehenge.png&diff=24704 2016-11-27T06:17:09Z

<p>Skim883: </p> <hr /> <div></div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24703 2016-11-27T06:16:21Z

<p>Skim883: /* History */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> Our ancestors have used inclined plane since prehistoric times to move heavy objects. <br /> The most famous artifact that is believed to be constructed using inclined plane is Stonehenge, Pyramids.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt;<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt; (in this case, &lt;math&gt;\phi = \tan^{-1} \mu \,&lt;/math&gt;)<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24701 2016-11-27T06:11:23Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt;<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt; (in this case, &lt;math&gt;\phi = \tan^{-1} \mu \,&lt;/math&gt;)<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24700 2016-11-27T06:11:12Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt;<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt; (&lt;math&gt;\phi = \tan^{-1} \mu \,&lt;/math&gt;)<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24699 2016-11-27T06:10:47Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt;<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt;&lt;br&gt;<br /> in this case, &lt;math&gt;\phi = \tan^{-1} \mu \,&lt;/math&gt;<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24698 2016-11-27T06:10:27Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt;<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt;&lt;br&gt;<br /> in this case, &lt;math&gt;\phi = \tan^{-1} \mu \,&lt;/math&gt;<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24697 2016-11-27T06:10:15Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt;<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt;&lt;br&gt;<br /> in this case, :&lt;math&gt;\phi = \tan^{-1} \mu \,&lt;/math&gt;<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24694 2016-11-27T06:09:10Z

<p>Skim883: </p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==History==<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt;<br /> if the inclined plane has a friction&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i} = \frac {\cos \phi} { \sin (\theta - \phi ) } \,&lt;/math&gt;<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24688 2016-11-27T06:00:11Z

<p>Skim883: /* References */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt;<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane&lt;br&gt;<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24686 2016-11-27T06:00:04Z

<p>Skim883: </p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt;<br /> <br /> ==References==<br /> http://www.newworldencyclopedia.org/entry/Inclined_plane<br /> http://www.dictionary.com</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24685 2016-11-27T05:59:23Z

<p>Skim883: /* Uses */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_combinations.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=File:Inclined_combinations.png&diff=24684 2016-11-27T05:58:42Z

<p>Skim883: </p> <hr /> <div></div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24682 2016-11-27T05:49:32Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> if the inclined plane is frictionless,&lt;br&gt;<br /> :&lt;math&gt;\text{MA} = \frac{F_w}{F_i} = \frac {1}{\sin \theta} \,&lt;/math&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24678 2016-11-27T05:45:36Z

<p>Skim883: </p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Terminology==<br /> Let's imagine there is a right triangle.<br /> The side opposite to the right angle is a '''Slant'''.<br /> The side on the bottom is '''Run'''<br /> The side vertical to the bottom is '''Rise'''<br /> <br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24668 2016-11-27T05:32:40Z

<p>Skim883: </p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Diagram of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;<br /> <br /> ==Terminology==<br /> Slope: A slope brings a mechanical advantage to the incline plane.<br /> :&lt;math&gt;\theta = \tan^{-1} \bigg( \frac {\text{Rise}}{\text{Run}} \bigg) \,&lt;/math&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24639 2016-11-27T05:16:00Z

<p>Skim883: </p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ===Why do we need to know?===<br /> When we solve physics problems, it is necessary to understand free diagram.&lt;br&gt;<br /> Understanding this inclined plane will help you apply gravity and angles on calculating forces.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ===Mechanical Advantage===<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Main_Page&diff=24637 2016-11-27T05:13:41Z

<p>Skim883: /* Identifying Forces */</p> <hr /> <div>__NOTOC__<br /> = '''Georgia Tech Student Wiki for Introductory Physics.''' =<br /> <br /> This resource was created so that students can contribute and curate content to help those with limited or no access to a textbook. When reading this website, please correct any errors you may come across. If you read something that isn't clear, please consider revising it for future students!<br /> <br /> Looking to make a contribution?<br /> #Pick one of the topics from intro physics listed below<br /> #Add content to that topic or improve the quality of what is already there.<br /> #Need to make a new topic? Edit this page and add it to the list under the appropriate category. Then copy and paste the default [[Template]] into your new page and start editing.<br /> <br /> Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations. 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Here is an incomplete list of intro physics resources (please update as needed).<br /> * A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]<br /> * A wiki written for students by a physics expert [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes MSU Physics Wiki]<br /> * A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]<br /> * The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]<br /> * An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]<br /> * Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]<br /> * OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]<br /> * The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]<br /> * A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]<br /> <br /> == Resources ==<br /> * Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]<br /> * A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]<br /> * A page to keep track of all the physics [[Constants]]<br /> * A page for review of [[Vectors]] and vector operations<br /> * A listing of [[Notable Scientist]] with links to their individual pages <br /> <br /> <br /> &lt;div style=&quot;float:left; width:30%; padding:1%;&quot;&gt;<br /> ==Physics 1==<br /> ===Week 1===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Help with VPython====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[VPython]]<br /> *[[VPython basics]]<br /> *[[VPython Common Errors and Troubleshooting]]<br /> *[[VPython Functions]]<br /> *[[VPython Lists]]<br /> *[[VPython Loops]]<br /> *[[VPython Multithreading]]<br /> *[[VPython Animation]]<br /> *[[VPython Objects]]<br /> *[[VPython 3D Objects]]<br /> *[[VPython Reference]]<br /> *[[VPython MapReduceFilter]]<br /> *[[VPython GUIs]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ====Vectors and Units====<br /> edit: Maria Furukawa<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Vectors]]<br /> *[[SI Units]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ====Interactions====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Types of Interactions and How to Detect Them]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Velocity and Momentum====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Newton's First Law of Motion]]<br /> *[[Velocity]]<br /> *[[Mass]]<br /> *[[Speed and Velocity]]<br /> *[[Relative Velocity]]<br /> *[[Derivation of Average Velocity]]<br /> *[[2-Dimensional Motion]]<br /> *[[3-Dimensional Position and Motion]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 2===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Momentum and the Momentum Principle====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Momentum Principle]]<br /> *[[Inertia]]<br /> *[[Net Force]]<br /> *[[Derivation of the Momentum Principle]]<br /> *[[Impulse Momentum]]<br /> *[[Acceleration]]<br /> *[[Momentum with respect to external Forces]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Iterative Prediction with a Constant Force====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Newton’s Second Law of Motion]]<br /> *[[Iterative Prediction]]<br /> *[[Kinematics]]<br /> *[[Newton’s Laws and Linear Momentum]]<br /> *[[Projectile Motion]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 3===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Analytic Prediction with a Constant Force====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Analytical Prediction]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Iterative Prediction with a Varying Force====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Predicting Change in multiple dimensions]]<br /> *[[Spring Force]]<br /> *[[Hooke's Law]]<br /> *[[Simple Harmonic Motion]]<br /> *[[Iterative Prediction of Spring-Mass System]]<br /> *[[Terminal Speed]]<br /> *[[Determinism]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 4===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Fundamental Interactions====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Gravitational Force]]<br /> *[[Electric Force]]<br /> *[[Reciprocity]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 5===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Conservation of Momentum====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Conservation of Momentum]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ====Properties of Matter====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Kinds of Matter]]<br /> *[[Ball and Spring Model of Matter]]<br /> *[[Density]]<br /> *[[Length and Stiffness of an Interatomic Bond]]<br /> *[[Young's Modulus]]<br /> *[[Speed of Sound in Solids]]<br /> *[[Malleability]]<br /> *[[Ductility]]<br /> *[[Weight]]<br /> *[[Hardness]]<br /> *[[Boiling Point]]<br /> *[[Melting Point]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 6===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Identifying Forces====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Free Body Diagram]]<br /> Claimed by pg66<br /> *[[Inclined Plane]]<br /> *[[Compression or Normal Force]]<br /> *[[Tension]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ====Curving Motion====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Curving Motion]]<br /> *[[Centripetal Force and Curving Motion]]<br /> *[[Perpetual Freefall (Orbit)]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 7===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Energy Principle====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[The Energy Principle]]<br /> *[[Conservation of Energy]]<br /> *[[Kinetic Energy]]<br /> *[[Work]]<br /> *[[Power (Mechanical)]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 8===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Work by Non-Constant Forces====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Work Done By A Nonconstant Force]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Potential Energy====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Potential Energy]]<br /> *[[Potential Energy of Macroscopic Springs]]<br /> *[[Spring Potential Energy]]<br /> *[[Ball and Spring Model]]<br /> *[[Gravitational Potential Energy]]<br /> *[[Energy Graphs]]<br /> *[[Escape Velocity]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 9===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Multiparticle Systems====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Center of Mass]]<br /> *[[Multi-particle analysis of Momentum]]<br /> *[[Momentum with respect to external Forces]]<br /> *[[Potential Energy of a Multiparticle System]]<br /> *[[Work and Energy for an Extended System]]<br /> *[[Internal Energy]]<br /> **[[Potential Energy of a Pair of Neutral Atoms]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 10===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Choice of System====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[System &amp; Surroundings]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Thermal Energy, Dissipation and Transfer of Energy====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Thermal Energy]]<br /> *[[Specific Heat]]<br /> *[[Heat Capacity]]<br /> *[[Specific Heat Capacity]]<br /> *[[First Law of Thermodynamics]]<br /> *[[Second Law of Thermodynamics and Entropy]]<br /> *[[Temperature]]<br /> *[[Predicting Change]]<br /> *[[Energy Transfer due to a Temperature Difference]]<br /> *[[Transformation of Energy]]<br /> *[[The Maxwell-Boltzmann Distribution]]<br /> *[[Air Resistance]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Rotational and Vibrational Energy====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Translational, Rotational and Vibrational Energy]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 11===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Different Models of a System====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Point Particle Systems]]<br /> *[[Real Systems]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Models of Friction====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Friction]]<br /> *[[Static Friction]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 12===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Collisions====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Newton's Third Law of Motion]]<br /> *[[Collisions]]<br /> *[[Elastic Collisions]]<br /> *[[Inelastic Collisions]]<br /> *[[Maximally Inelastic Collision]]<br /> *[[Head-on Collision of Equal Masses]]<br /> *[[Head-on Collision of Unequal Masses]]<br /> *[[Scattering: Collisions in 2D and 3D]]<br /> *[[Rutherford Experiment and Atomic Collisions]]<br /> *[[Coefficient of Restitution]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 13===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Rotations====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Rotation]]<br /> *[[Angular Velocity]]<br /> *[[Eulerian Angles]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Angular Momentum====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Total Angular Momentum]]<br /> *[[Translational Angular Momentum]]<br /> *[[Rotational Angular Momentum]]<br /> *[[The Angular Momentum Principle]]<br /> *[[Angular Momentum Compared to Linear Momentum]]<br /> *[[Angular Impulse]]<br /> *[[Predicting the Position of a Rotating System]]<br /> *[[Angular Momentum of Multiparticle Systems]]<br /> *[[The Moments of Inertia]]<br /> *[[Moment of Inertia for a cylinder]]<br /> *[[Right Hand Rule]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 14===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Analyzing Motion with and without Torque====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Torque]]<br /> *[[Torque 2]]<br /> *[[Systems with Zero Torque]]<br /> *[[Systems with Nonzero Torque]]<br /> *[[Torque vs Work]]<br /> *[[Gyroscopes]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 15===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Introduction to Quantum Concepts====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Bohr Model]]<br /> *[[Energy graphs and the Bohr model]]<br /> *[[Quantized energy levels]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div style=&quot;float:left; width:30%; padding:1%;&quot;&gt;<br /> ==Physics 2==<br /> ===Week 1===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====3D Vectors====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Vectors]]<br /> *[[Right-Hand Rule]]<br /> *[[Right Hand Rule]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Electric field====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Electric Field]]<br /> *[[Electric Field and Electric Potential]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ====Electric force====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Electric Force]]<br /> *[[Lorentz Force]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> Aniruddha Nadkarni<br /> <br /> ====Electric field of a point particle====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Point Charge]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ====Superposition====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Superposition Principle]]<br /> *[[Superposition principle]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Dipoles====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Electric Dipole]]<br /> *[[Magnetic Dipole]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 2===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Interactions of charged objects====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Electric Field]]<br /> *[[Electric Potential]]<br /> *[[Electric Force]]<br /> *[[Lorentz Force]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Tape experiments====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Polarization]]<br /> *[[Electric Polarization]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Polarization====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Polarization]]<br /> *[[Electric Polarization]]<br /> *[[Polarization of an Atom]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 3===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Insulators====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Insulators]]<br /> *[[Potential Difference in an Insulator]]<br /> *[[Charged Conductor and Charged Insulator]]<br /> *[[Charged conductor and charged insulator]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Conductors====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Conductivity]]<br /> *[[Charge Transfer]]<br /> *[[Resistivity]]<br /> *[[Polarization of a conductor]]<br /> *[[Charged Conductor and Charged Insulator]]<br /> *[[Charged conductor and charged insulator]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Charging and discharging====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Charge Transfer]]<br /> *[[Electrostatic Discharge]]<br /> *[[Charged Conductor and Charged Insulator]]<br /> *[[Charged conductor and charged insulator]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 4===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Field of a charged rod====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Charged Rod]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Field of a charged ring/disk/capacitor====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Charged Ring]]<br /> *[[Charged Disk]]<br /> *[[Charged Capacitor]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Field of a charged sphere====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Charged Spherical Shell]]<br /> *[[Field of a Charged Ball]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 5===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Potential energy====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Potential Energy - Claimed by Janki Patel]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Electric potential====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Electric Potential]]<br /> *[[Path Independence of Electric Potential]]<br /> *[[Potential Difference Path Independence, claimed by Aditya Mohile]] <br /> *[[Potential Difference in a Uniform Field]]<br /> *[[Potential Difference of Point Charge in a Non-Uniform Field]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Sign of a potential difference====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Sign of a Potential Difference]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Potential at a single location====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Electric Potential]]<br /> *[[Potential Difference at One Location]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ====Path independence and round trip potential====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Path Independence of Electric Potential]]<br /> *[[Potential Difference Path Independence, claimed by Aditya Mohile]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 6===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Electric field and potential in an insulator====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Potential Difference in an Insulator]]<br /> *[[Electric Field in an Insulator]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Moving charges in a magnetic field====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Magnetic Field]]<br /> *[[Magnetic Force]]<br /> *[[Lorentz Force]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Biot-Savart Law====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Biot-Savart Law]]<br /> *[[Biot-Savart Law for Currents]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Moving charges, electron current, and conventional current====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Moving Point Charge]]<br /> *[[Current]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 7===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Magnetic field of a wire====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Magnetic Field of a Long Straight Wire]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Magnetic field of a current-carrying loop====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Magnetic Field of a Loop]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Magnetic dipoles====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Magnetic Dipole Moment]]<br /> *[[Bar Magnet]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Atomic structure of magnets====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Atomic Structure of Magnets]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 8===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Steady state current====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Steady State]]<br /> *[[Non Steady State]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Node rule====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Node Rule]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Electric fields and energy in circuits====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Series circuit]]<br /> *[[Node Rule]]<br /> *[[Loop Rule]]<br /> *[[Electric Potential Difference]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Macroscopic analysis of circuits====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Series Circuits]]<br /> *[[Parallel CIrcuits]]<br /> *[[Parallel Circuits vs. Series Circuits*]]<br /> *[[Loop Rule]]<br /> *[[Node Rule]]<br /> *[[Fundamentals of Resistance]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 9===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Electric field and potential in circuits with capacitors====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Charging and Discharging a Capacitor]]<br /> *[[RC Circuit]] <br /> *[[R Circuit]]<br /> *[[AC and DC]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Magnetic forces on charges and currents====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Magnetic Force]]<br /> *[[Lorentz Force]]<br /> *[[Applying Magnetic Force to Currents]]<br /> *[[Magnetic Force in a Moving Reference Frame]]<br /> *[[Right-Hand Rule]]<br /> *[[Analysis of Railgun vs Coil gun technologies]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Electric and magnetic forces====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Electric Force]]<br /> *[[Magnetic Force]]<br /> *[[Lorentz Force]]<br /> *[[VPython Modelling of Electric and Magnetic Forces]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Velocity selector====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Lorentz Force]]<br /> *[[Combining Electric and Magnetic Forces]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 10===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====The Hall effect====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Hall Effect]]<br /> *[[Right-Hand Rule]]<br /> *[[Motional Emf]]<br /> *[[Magnetic Force]]<br /> *[[Magnetic Torque]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Motional EMF====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Motional Emf]]<br /> *[[Motional Emf using Faraday's Law]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Magnetic force====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Magnetic Force]]<br /> *[[Lorentz Force]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Magnetic torque====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Magnetic Torque]]<br /> *[[Right-Hand Rule]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 12===<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Gauss's Law====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Gauss's Flux Theorem]]<br /> *[[Gauss's Law]]<br /> *[[Magnetic Flux]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Ampere's Law====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Ampere's Law]]<br /> *[[Ampere-Maxwell Law]]<br /> *[[Magnetic Field of Coaxial Cable Using Ampere's Law]]<br /> *[[Magnetic Field of a Long Thick Wire Using Ampere's Law]]<br /> *[[Magnetic Field of a Toroid Using Ampere's Law]]<br /> *[[Magnetic Field of a Solenoid Using Ampere's Law]]<br /> *[[The Differential Form of Ampere's Law]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 13===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Semiconductors====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Semiconductor Devices]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Faraday's Law====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Faraday's Law]]<br /> *[[Motional Emf using Faraday's Law]]<br /> *[[Lenz's Law]]<br /> <br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ====Maxwell's equations====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Gauss's Law]]<br /> *[[Magnetic Flux]]<br /> *[[Ampere's Law]]<br /> *[[Faraday's Law]]<br /> *[[Maxwell's Electromagnetic Theory]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 14===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Circuits revisited====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> <br /> *[[RLC Circuits]]<br /> *[[LR Circuits]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ====Inductors====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Inductors]]<br /> *[[Current in an LC Circuit]]<br /> *[[Current in an RL Circuit]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 15===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ==== Electromagnetic Radiation ====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Electromagnetic Radiation]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Sparks in the air====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Sparks in Air]]<br /> *[[Spark Plugs]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Superconductors====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Superconducters]]<br /> *[[Superconductors]]<br /> *[[Meissner effect]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div style=&quot;float:left; width:30%; padding:1%;&quot;&gt;<br /> <br /> ==Physics 3==<br /> <br /> ===Week 1===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Classical Physics====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 2===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Special Relativity====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Frame of Reference]]<br /> *[[Einstein's Theory of Special Relativity]]<br /> *[[Time Dilation]]<br /> *[[Einstein's Theory of General Relativity]]<br /> *[[Albert A. Micheleson &amp; Edward W. Morley]]<br /> *[[Magnetic Force in a Moving Reference Frame]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 3===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Photons====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Spontaneous Photon Emission]]<br /> *[[Light Scattering: Why is the Sky Blue]]<br /> *[[Lasers]]<br /> *[[Electronic Energy Levels and Photons]]<br /> *[[Quantum Properties of Light]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 4===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Matter Waves====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Wave-Particle Duality]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 5===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Wave Mechanics====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Standing Waves]]<br /> *[[Wavelength]]<br /> *[[Wavelength and Frequency]]<br /> *[[Mechanical Waves]]<br /> *[[Transverse and Longitudinal Waves]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 6===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Rutherford-Bohr Model====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Rutherford Experiment and Atomic Collisions]]<br /> *[[Bohr Model]]<br /> *[[Quantized energy levels]]<br /> *[[Energy graphs and the Bohr model]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 7===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====The Hydrogen Atom====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Quantum Theory]]<br /> *[[Atomic Theory]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 8===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Many-Electron Atoms====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Quantum Theory]]<br /> *[[Atomic Theory]]<br /> *[[Pauli exclusion principle]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 9===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Molecules====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 10===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Statistical Physics====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 11===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Condensed Matter Physics====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 12===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====The Nucleus====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 13===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Nuclear Physics====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Nuclear Fission]]<br /> *[[Nuclear Energy from Fission and Fusion]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> ===Week 14===<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ====Particle Physics====<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Elementary Particles and Particle Physics Theory]]<br /> *[[String Theory]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;/div&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24636 2016-11-27T05:12:12Z

<p>Skim883: </p> <hr /> <div>Claimed by Sunmin Kim Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ===Mechanical Advantage===<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24634 2016-11-27T05:11:24Z

<p>Skim883: /* Physics of the Inclined Plane */</p> <hr /> <div>Claimed by Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ===Mechanical Advantage===<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24633 2016-11-27T05:11:03Z

<p>Skim883: </p> <hr /> <div>Claimed by Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24632 2016-11-27T05:10:39Z

<p>Skim883: </p> <hr /> <div>Claimed by Skim883 (Fall2016)<br /> ==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24630 2016-11-27T05:05:41Z

<p>Skim883: /* Uses */</p> <hr /> <div>==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24623 2016-11-27T05:02:54Z

<p>Skim883: /* Uses */</p> <hr /> <div>==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png|width=50]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24621 2016-11-27T05:02:29Z

<p>Skim883: /* Uses */</p> <hr /> <div>==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png|width=150]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24620 2016-11-27T04:59:56Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Mechanical Advantage==<br /> '''Fw''' is a gravitational force that applies on the plane&lt;br&gt;<br /> '''Fi''' is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24618 2016-11-27T04:59:38Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Mechanical Advantage==<br /> Fw is a gravitational force that applies on the plane&lt;br&gt;<br /> Fi is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24616 2016-11-27T04:59:08Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Mechanical Advantage==<br /> :&lt;math&gt;\F_w\&lt;/math&gt; is a gravitational force that applies on the plane&lt;br&gt;<br /> F_i is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24615 2016-11-27T04:58:58Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Mechanical Advantage==<br /> :&lt;math&gt;\F_w\&lt;/math&gt; is a gravitational force that applies on the plane&lt;br&gt;<br /> F_i is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \{F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24613 2016-11-27T04:58:38Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Mechanical Advantage==<br /> :&lt;math&gt;\F_w\&lt;/math&gt; is a gravitational force that applies on the plane&lt;br&gt;<br /> F_i is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24612 2016-11-27T04:57:50Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Mechanical Advantage==<br /> {F_w} is a gravitational force that applies on the plane&lt;br&gt;<br /> {F_i} is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24611 2016-11-27T04:57:25Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Mechanical Advantage==<br /> :&lt;math&gt;\{F_w} is a gravitational force that applies on the plane&lt;br&gt;<br /> {F_i} is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> mathrm{MA} = \frac {F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24608 2016-11-27T04:56:45Z

<p>Skim883: /* Mechanical Advantage */</p> <hr /> <div>==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Mechanical Advantage==<br /> {F_w} is a gravitational force that applies on the plane&lt;br&gt;<br /> {F_i} is a force exerted on the object and parallel to the plane&lt;br&gt;<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i}. \,&lt;/math&gt;&lt;br&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24585 2016-11-27T04:28:38Z

<p>Skim883: </p> <hr /> <div>==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)<br /> <br /> ==Mechanical Advantage==<br /> :&lt;math&gt;\mathrm{MA} = \frac {F_w}{F_i}. \,&lt;/math&gt;</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24499 2016-11-27T02:03:10Z

<p>Skim883: /* Uses */</p> <hr /> <div>==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> [[File:Inclined_example2.png]]<br /> [[File:Inclined_example3.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24488 2016-11-27T01:58:02Z

<p>Skim883: /* Uses */</p> <hr /> <div>==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> [[File:Inclined_example1.png]]<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)</div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=File:Inclined_example3.png&diff=24480 2016-11-27T01:55:45Z

<p>Skim883: </p> <hr /> <div></div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=File:Inclined_example2.png&diff=24479 2016-11-27T01:55:01Z

<p>Skim883: </p> <hr /> <div></div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=File:Inclined_example1.png&diff=24475 2016-11-27T01:54:08Z

<p>Skim883: </p> <hr /> <div></div>

Skim883 http://www.physicsbook.gatech.edu/index.php?title=Inclined_Plane&diff=24473 2016-11-27T01:51:20Z

<p>Skim883: /* Uses */</p> <hr /> <div>==Definition==<br /> [[File:Picture2.png]]&lt;br&gt;<br /> inclined(adj): deviating in direction from the horizontal or vertical; sloping&lt;br&gt;<br /> plane(n):a flat or level surface&lt;br&gt;<br /> Inclined plane means a plane with a level surface. It is inclined at a angle to the horizontal.<br /> <br /> ==Uses==<br /> You may see this almost every day in your daily life. The inclined planes are needed for loading and unloading heavy goods on transportation such as ships, trucks and planes because it has mechanical advantage of reducing the forces required to move heavy goods.<br /> <br /> ==Physics of the Inclined Plane==<br /> [[File:physics_inclined.png]]&lt;br&gt;<br /> θ= Angle of the plane to the horizontal&lt;br&gt;<br /> g= Acceleration due to gravity&lt;br&gt;<br /> m= Mass of object&lt;br&gt;<br /> N= Normal force (perpendicular to the plane)&lt;br&gt;<br /> f = frictional force of the inclined plane (sometimes it is omitted on test problems)&lt;br&gt;<br /> mgSinθ= A force parallel to the plane (mgSinθ &gt; f the body slides down the plane)&lt;br&gt;<br /> mgCosθ= A force acting into the plane (opposite to N)</div>

Skim883