Physics Book - User contributions [en]

Tension

2015-12-02T07:57:04Z

Chloejhkim: /* Connectedness */

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through objects like string, rope, or wire when it is pulled tight by forces acting from opposite side. The tension force is directed along the length of the rope and pulls equally on the objects on the opposite side of the rope.

It's important to note that tension is only a pulling force since ropes simply can't push effectively or push by itself. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, it is important to remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

Use Newton's second law to relate the motion of the object to the forces.

#Draw the forces exerted on the object in the question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

Following these three steps will solve tension problem.

== Example Problems ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of toy box is being pulled across a table by a rope at an angle θ=60º as seen below (ignore friction). The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

First draw a force diagram of all the forces acting on the box.
[[File:tensionex1.jpg| center | 400px|thumb|middle]]

Now use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since the acceleration is going horizontally, and since the tension is the only force directed horizontally, use Newton's second law in the horizontal direction.

#a= ΣF/m (use Newtons's second law for the horizontal direction)
#3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)
#Tcos60º=(3.0 m/s^2)(2.0kg)
#T=[(3.0 m/s^2)(2.0kg)]/(cos60º)
#T=12N

=== Example 2: Box hanging from two ropes ===

A 0.25 kg container hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T1 is directed at an angle θ=30º from the horizontal direction as seen below.

What are the tensions (T1 and T2) in the two strings?

First draw a force diagram of all the forces acting on the container.

[[File:tensionex2.jpg| center | 400px|thumb|middle]]

Now use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since there is force of gravity (a vertical force), start with '''Newton's second law in the vertical direction.'''

#a=ΣF/m (use Newton's second law for the vertical direction)
#0=(T2*sin30º-Fg)/0.25kg
#T2=Fg/(sin30º)
#T2=mg/(sin30º)
#T2=[(0.25kg)(9.8m/s²)]/(sin30º)
#T2=4.9N

Now that we know T2 we can solve for the tension T1 using '''Newton's second law for the horizontal direction'''.
#a=ΣF/m (use Newton's second law for the horizontal direction)
#0=(T2*cos30º-T1)/0.25kg (plug in the horizontal acceleration, mass, and horizontal forces)
#T1=T2*cos30º
#T1=(4.9N)*cos30º
#T1=4.2N

==Connectedness==
#How is this topic connected to something that you are interested in?
When I was little, I went to a department store and I saw a transparent elevator. I never knew how elevator operated but through the transparent elevator, I realized that the pulling force of the ropes was what was keeping the elevator moving. This pulling force is tension and I later realized that this tension force is evident everywhere in my daily life.

#How is it connected to your major?
I am not exactly sure how tension is connected to industrial engineering, which is my major. However, I can say that tension is a very basic concept in physics related to force and it is important to understand physics mechanism in studying industrial engineering.

#Is there an interesting industrial application?
Tension force can be seen in everyday life, just like the elevator example I mentioned above. Tension force is applied when I pull a clothing tags.

== See also ==

#Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?
I think it will be interesting to make connection between tension force and friction. Use both tension and friction in pulling a box in ice skating environment and concrete environment. This would be a good example to explore more about the topic.

===Further reading===

Books, Articles or other print media on this topic

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. Hoboken, NJ: John Wiley & Sons, 2015. Print.

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. Hoboken, NJ: John Wiley & Sons, 2015. Print.
https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-12-02T07:55:35Z

Chloejhkim: /* Example 2: Box hanging from two ropes */

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through objects like string, rope, or wire when it is pulled tight by forces acting from opposite side. The tension force is directed along the length of the rope and pulls equally on the objects on the opposite side of the rope.

It's important to note that tension is only a pulling force since ropes simply can't push effectively or push by itself. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, it is important to remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

Use Newton's second law to relate the motion of the object to the forces.

#Draw the forces exerted on the object in the question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

Following these three steps will solve tension problem.

== Example Problems ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of toy box is being pulled across a table by a rope at an angle θ=60º as seen below (ignore friction). The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

First draw a force diagram of all the forces acting on the box.
[[File:tensionex1.jpg| center | 400px|thumb|middle]]

Now use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since the acceleration is going horizontally, and since the tension is the only force directed horizontally, use Newton's second law in the horizontal direction.

#a= ΣF/m (use Newtons's second law for the horizontal direction)
#3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)
#Tcos60º=(3.0 m/s^2)(2.0kg)
#T=[(3.0 m/s^2)(2.0kg)]/(cos60º)
#T=12N

=== Example 2: Box hanging from two ropes ===

A 0.25 kg container hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T1 is directed at an angle θ=30º from the horizontal direction as seen below.

What are the tensions (T1 and T2) in the two strings?

First draw a force diagram of all the forces acting on the container.

[[File:tensionex2.jpg| center | 400px|thumb|middle]]

Now use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since there is force of gravity (a vertical force), start with '''Newton's second law in the vertical direction.'''

#a=ΣF/m (use Newton's second law for the vertical direction)
#0=(T2*sin30º-Fg)/0.25kg
#T2=Fg/(sin30º)
#T2=mg/(sin30º)
#T2=[(0.25kg)(9.8m/s²)]/(sin30º)
#T2=4.9N

Now that we know T2 we can solve for the tension T1 using '''Newton's second law for the horizontal direction'''.
#a=ΣF/m (use Newton's second law for the horizontal direction)
#0=(T2*cos30º-T1)/0.25kg (plug in the horizontal acceleration, mass, and horizontal forces)
#T1=T2*cos30º
#T1=(4.9N)*cos30º
#T1=4.2N

==Connectedness==
#How is this topic connected to something that you are interested in?
When I was little, I went to a department store and I saw a transparent elevator. I never knew how elevator operated but through the transparent elevator, I realized that the pulling force of the ropes was what was keeping the elevator moving. This pulling force is tension and I later realized that this tension force is evident in everywhere in my daily life.

#How is it connected to your major?
I am not exactly sure how tension is connected to industrial engineering, which is my major. However, what I can say is that tension is a very basic concept in physics related to force and it is important to understand physics mechanism in studying industrial engineering.

#Is there an interesting industrial application?
Tension force is applied in everyday life, just like the elevator example I mentioned. Tension force is applied when I pull a clothing tags.

== See also ==

#Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?
I think it will be interesting to make connection between tension force and friction. Use both tension and friction in pulling a box in ice skating environment and concrete environment. This would be a good example to explore more about the topic.

===Further reading===

Books, Articles or other print media on this topic

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. Hoboken, NJ: John Wiley & Sons, 2015. Print.

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. Hoboken, NJ: John Wiley & Sons, 2015. Print.
https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-12-02T07:53:02Z

Chloejhkim: /* Example 1: Angled rope pulling on a box */

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through objects like string, rope, or wire when it is pulled tight by forces acting from opposite side. The tension force is directed along the length of the rope and pulls equally on the objects on the opposite side of the rope.

It's important to note that tension is only a pulling force since ropes simply can't push effectively or push by itself. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, it is important to remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

Use Newton's second law to relate the motion of the object to the forces.

#Draw the forces exerted on the object in the question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

Following these three steps will solve tension problem.

== Example Problems ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of toy box is being pulled across a table by a rope at an angle θ=60º as seen below (ignore friction). The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

First draw a force diagram of all the forces acting on the box.
[[File:tensionex1.jpg| center | 400px|thumb|middle]]

Now use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since the acceleration is going horizontally, and since the tension is the only force directed horizontally, use Newton's second law in the horizontal direction.

#a= ΣF/m (use Newtons's second law for the horizontal direction)
#3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)
#Tcos60º=(3.0 m/s^2)(2.0kg)
#T=[(3.0 m/s^2)(2.0kg)]/(cos60º)
#T=12N

=== Example 2: Box hanging from two ropes ===

A 0.25 kg container hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T1 is directed at an angle θ=30º from the horizontal direction as seen below.

What are the tensions (T1 and T2) in the two strings?

First draw a force diagram of all the forces acting on the container.

[[File:tensionex2.jpg| center | 400px|thumb|middle]]

Now use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since there is force of gravity (a vertical force), start with '''Newton's second law in the vertical direction.'''

#a=ΣF/m (use Newton's second law for the vertical direction)
#0=(T2*sin30º-Fg)/0.25kg
#T2=Fg/(sin30º)
#T2=mg/(sin30º)
#T2=[(0.25kg)(9.8m/s²)]/(sin30º)
#T2=4.9N

Now that we know T2 we can solve for the tension T1 using '''Newton's second law for the horizontal direction'''.
#a=ΣF/m (use Newtons's second law for the horizontal direction)
#0=(T2*cos30º-T1)/0.25kg (plug in the horizontal acceleration, mass, and horizontal forces)
#T1=T2*cos30º
#T1=(4.9N)*cos30º
#T1=4.2N

==Connectedness==
#How is this topic connected to something that you are interested in?
When I was little, I went to a department store and I saw a transparent elevator. I never knew how elevator operated but through the transparent elevator, I realized that the pulling force of the ropes was what was keeping the elevator moving. This pulling force is tension and I later realized that this tension force is evident in everywhere in my daily life.

#How is it connected to your major?
I am not exactly sure how tension is connected to industrial engineering, which is my major. However, what I can say is that tension is a very basic concept in physics related to force and it is important to understand physics mechanism in studying industrial engineering.

#Is there an interesting industrial application?
Tension force is applied in everyday life, just like the elevator example I mentioned. Tension force is applied when I pull a clothing tags.

== See also ==

#Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?
I think it will be interesting to make connection between tension force and friction. Use both tension and friction in pulling a box in ice skating environment and concrete environment. This would be a good example to explore more about the topic.

===Further reading===

Books, Articles or other print media on this topic

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. Hoboken, NJ: John Wiley & Sons, 2015. Print.

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. Hoboken, NJ: John Wiley & Sons, 2015. Print.
https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-12-02T07:49:39Z

Chloejhkim: /* How To Calculate Tension Force */

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through objects like string, rope, or wire when it is pulled tight by forces acting from opposite side. The tension force is directed along the length of the rope and pulls equally on the objects on the opposite side of the rope.

It's important to note that tension is only a pulling force since ropes simply can't push effectively or push by itself. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, it is important to remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

Use Newton's second law to relate the motion of the object to the forces.

#Draw the forces exerted on the object in the question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

Following these three steps will solve tension problem.

== Example Problems ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of toy box t is being pulled across a table by a rope at an angle θ=60º as seen below (ignore friction). The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

First draw a force diagram of all the forces acting on the box.
[[File:tensionex1.jpg| center | 400px|thumb|middle]]

Now use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since the acceleration is going horizontally, and since the tension is the only force directed horizontally, use Newton's second law in the horizontal direction.

#a= ΣF/m (use Newtons's second law for the horizontal direction)
#3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)
#Tcos60º=(3.0 m/s^2)(2.0kg)
#T=[(3.0 m/s^2)(2.0kg)]/(cos60º)
#T=12N

=== Example 2: Box hanging from two ropes ===

A 0.25 kg container hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T1 is directed at an angle θ=30º from the horizontal direction as seen below.

What are the tensions (T1 and T2) in the two strings?

First draw a force diagram of all the forces acting on the container.

[[File:tensionex2.jpg| center | 400px|thumb|middle]]

Now use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since there is force of gravity (a vertical force), start with '''Newton's second law in the vertical direction.'''

#a=ΣF/m (use Newton's second law for the vertical direction)
#0=(T2*sin30º-Fg)/0.25kg
#T2=Fg/(sin30º)
#T2=mg/(sin30º)
#T2=[(0.25kg)(9.8m/s²)]/(sin30º)
#T2=4.9N

Now that we know T2 we can solve for the tension T1 using '''Newton's second law for the horizontal direction'''.
#a=ΣF/m (use Newtons's second law for the horizontal direction)
#0=(T2*cos30º-T1)/0.25kg (plug in the horizontal acceleration, mass, and horizontal forces)
#T1=T2*cos30º
#T1=(4.9N)*cos30º
#T1=4.2N

==Connectedness==
#How is this topic connected to something that you are interested in?
When I was little, I went to a department store and I saw a transparent elevator. I never knew how elevator operated but through the transparent elevator, I realized that the pulling force of the ropes was what was keeping the elevator moving. This pulling force is tension and I later realized that this tension force is evident in everywhere in my daily life.

#How is it connected to your major?
I am not exactly sure how tension is connected to industrial engineering, which is my major. However, what I can say is that tension is a very basic concept in physics related to force and it is important to understand physics mechanism in studying industrial engineering.

#Is there an interesting industrial application?
Tension force is applied in everyday life, just like the elevator example I mentioned. Tension force is applied when I pull a clothing tags.

== See also ==

#Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?
I think it will be interesting to make connection between tension force and friction. Use both tension and friction in pulling a box in ice skating environment and concrete environment. This would be a good example to explore more about the topic.

===Further reading===

Books, Articles or other print media on this topic

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. Hoboken, NJ: John Wiley & Sons, 2015. Print.

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. Hoboken, NJ: John Wiley & Sons, 2015. Print.
https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-12-02T07:40:47Z

Chloejhkim:

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through objects like string, rope, or wire when it is pulled tight by forces acting from opposite side. The tension force is directed along the length of the rope and pulls equally on the objects on the opposite side of the rope.

It's important to note that tension is only a pulling force since ropes simply can't push effectively or push by itself. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, it is important to remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

Use Newton's second law to relate the motion of the object to the forces.

#Draw the forces exerted on the object in thee question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

Following these three steps will solve tension problem.

== Example Problems ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of toy box t is being pulled across a table by a rope at an angle θ=60º as seen below (ignore friction). The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

First draw a force diagram of all the forces acting on the box.
[[File:tensionex1.jpg| center | 400px|thumb|middle]]

Now use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since the acceleration is going horizontally, and since the tension is the only force directed horizontally, use Newton's second law in the horizontal direction.

#a= ΣF/m (use Newtons's second law for the horizontal direction)
#3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)
#Tcos60º=(3.0 m/s^2)(2.0kg)
#T=[(3.0 m/s^2)(2.0kg)]/(cos60º)
#T=12N

=== Example 2: Box hanging from two ropes ===

A 0.25 kg container hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T1 is directed at an angle θ=30º from the horizontal direction as seen below.

What are the tensions (T1 and T2) in the two strings?

First draw a force diagram of all the forces acting on the container.

[[File:tensionex2.jpg| center | 400px|thumb|middle]]

Now use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since there is force of gravity (a vertical force), start with '''Newton's second law in the vertical direction.'''

#a=ΣF/m (use Newton's second law for the vertical direction)
#0=(T2*sin30º-Fg)/0.25kg
#T2=Fg/(sin30º)
#T2=mg/(sin30º)
#T2=[(0.25kg)(9.8m/s²)]/(sin30º)
#T2=4.9N

Now that we know T2 we can solve for the tension T1 using '''Newton's second law for the horizontal direction'''.
#a=ΣF/m (use Newtons's second law for the horizontal direction)
#0=(T2*cos30º-T1)/0.25kg (plug in the horizontal acceleration, mass, and horizontal forces)
#T1=T2*cos30º
#T1=(4.9N)*cos30º
#T1=4.2N

==Connectedness==
#How is this topic connected to something that you are interested in?
When I was little, I went to a department store and I saw a transparent elevator. I never knew how elevator operated but through the transparent elevator, I realized that the pulling force of the ropes was what was keeping the elevator moving. This pulling force is tension and I later realized that this tension force is evident in everywhere in my daily life.

#How is it connected to your major?
I am not exactly sure how tension is connected to industrial engineering, which is my major. However, what I can say is that tension is a very basic concept in physics related to force and it is important to understand physics mechanism in studying industrial engineering.

#Is there an interesting industrial application?
Tension force is applied in everyday life, just like the elevator example I mentioned. Tension force is applied when I pull a clothing tags.

== See also ==

#Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?
I think it will be interesting to make connection between tension force and friction. Use both tension and friction in pulling a box in ice skating environment and concrete environment. This would be a good example to explore more about the topic.

===Further reading===

Books, Articles or other print media on this topic

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. Hoboken, NJ: John Wiley & Sons, 2015. Print.

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. Hoboken, NJ: John Wiley & Sons, 2015. Print.
https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-12-02T05:28:17Z

Chloejhkim:

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire.

Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance (e.g. the length of the rope). For instance, a sled can be pulled by a team of Siberian Huskies with ropes secured to them which lets the dogs run with a larger range of motion compared to requiring the Huskies to push on the back surface of the sled from behind using the normal force. (Yes, that would be the most pathetic dog sled team ever.)
It's important to note here that tension is a pulling force since ropes simply can't push effectively. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, people often draw the force of tension going in the wrong direction so remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

we use Newton's second law to relate the motion of the object to the forces involved. To be specific we can,

#Draw the forces exerted on the object in question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

We'll use this problem solving strategy in the solved examples below.

== Example Problems ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of cucumber extract is being pulled across a frictionless table by a rope at an angle θ=60º as seen below. The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

First draw a force diagram of all the forces acting on the box.
[[File:tensionex1.jpg| center | 400px|thumb|middle]]

Now we use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since we know the acceleration horizontally, and since we know tension is the only force directed horizontally, we'll use Newton's second law in the horizontal direction.

#a= ΣF/m (use Newtons's second law for the horizontal direction)
#3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)
#Tcos60º=(3.0 m/s^2)(2.0kg)
#T=[(3.0 m/s^2)(2.0kg)]/(cos60º)
#T=12N

=== Example 2: Box hanging from two ropes ===

A 0.25 kg container of animal crackers hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T1 is directed at an angle θ=30º from the horizontal direction as seen below.

What are the tensions (T1 and T2) in the two strings?

First we draw a force diagram of all the forces acting on the container of animal crackers.

[[File:tensionex2.jpg| center | 400px|thumb|middle]]

Now we have to use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since we know the force of gravity, which is a vertical force, we'll start with '''Newton's second law in the vertical direction.'''

#a=ΣF/m (use Newtons's second law for the vertical direction)
#0=(T2*sin30º-Fg)/0.25kg
#T2=Fg/(sin30º)
#T2=mg/(sin30º)
#T2=[(0.25kg)(9.8m/s²)]/(sin30º)
#T2=4.9N

Now that we know T2 we can solve for the tension T1 using '''Newton's second law for the horizontal direction'''.
#a=ΣF/m (use Newtons's second law for the horizontal direction)
#0=(T2*cos30º-T1)/0.25kg (plug in the horizontal acceleration, mass, and horizontal forces)
#T1=T2*cos30º
#T1=(4.9N)*cos30º
#T1=4.2N

==Connectedness==
#How is this topic connected to something that you are interested in?
When I was little, I went to a department store and I saw a transparent elevator. I never knew how elevator operates but through the transparent elevator, I realized that the pulling force of the ropes are what is keeping the elevator moving. This pulling force is tension and I later realized that this tension force is evident in everywhere in my daily life.

#How is it connected to your major?
I am not exactly sure how tension is connected to industrial engineering, which is my major. However, what I can say is that tension is a very basic concept in physics related to force and it is important to understand physics mechanism in studying industrial engineering.

#Is there an interesting industrial application?
Tension force is applied in everyday life, just like the elevator example I mentioned. Tension force is applied when I pull a clothing tags.

== See also ==

#Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?
I think it will be interesting to make connection between tension force and friction. Comparing tension and friction of pulling a box in ice skating environment and concrete environment would be a good example to explore more about the topic.

===Further reading===

Books, Articles or other print media on this topic

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. Hoboken, NJ: John Wiley & Sons, 2015. Print.

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. Hoboken, NJ: John Wiley & Sons, 2015. Print.
https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

File:Tensionex2.jpg

2015-12-02T04:46:53Z

Chloejhkim:

Tension

2015-12-02T04:46:37Z

Chloejhkim: /* Example 2: Box hanging from two ropes */

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire.

Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance (e.g. the length of the rope). For instance, a sled can be pulled by a team of Siberian Huskies with ropes secured to them which lets the dogs run with a larger range of motion compared to requiring the Huskies to push on the back surface of the sled from behind using the normal force. (Yes, that would be the most pathetic dog sled team ever.)
It's important to note here that tension is a pulling force since ropes simply can't push effectively. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, people often draw the force of tension going in the wrong direction so remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

we use Newton's second law to relate the motion of the object to the forces involved. To be specific we can,

#Draw the forces exerted on the object in question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

We'll use this problem solving strategy in the solved examples below.

== Example Problems ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of cucumber extract is being pulled across a frictionless table by a rope at an angle θ=60º as seen below. The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

First draw a force diagram of all the forces acting on the box.
[[File:tensionex1.jpg| center | 400px|thumb|middle]]

Now we use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since we know the acceleration horizontally, and since we know tension is the only force directed horizontally, we'll use Newton's second law in the horizontal direction.

#a= ΣF/m (use Newtons's second law for the horizontal direction)
#3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)
#Tcos60º=(3.0 m/s^2)(2.0kg)
#T=[(3.0 m/s^2)(2.0kg)]/(cos60º)
#T=12N

=== Example 2: Box hanging from two ropes ===

A 0.25 kg container of animal crackers hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T1 is directed at an angle θ=30º from the horizontal direction as seen below.

What are the tensions (T1 and T2) in the two strings?

First we draw a force diagram of all the forces acting on the container of animal crackers.

[[File:tensionex2.jpg]]
Now we have to use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since we know the force of gravity, which is a vertical force, we'll start with '''Newton's second law in the vertical direction.'''

#a=ΣF/m (use Newtons's second law for the vertical direction)
#0=(T2*sin30º-Fg)/0.25kg
#T2=Fg/(sin30º)
#T2=mg/(sin30º)
#T2=[(0.25kg)(9.8m/s²)]/(sin30º)
#T2=4.9N

Now that we know T2 we can solve for the tension T1 using '''Newton's second law for the horizontal direction'''.
#a=ΣF/m (use Newtons's second law for the horizontal direction)
#0=(T2*cos30º-T1)/0.25kg (plug in the horizontal acceleration, mass, and horizontal forces)
#T1=T2*cos30º
#T1=(4.9N)*cos30º
#T1=4.2N

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-12-02T04:45:47Z

Chloejhkim: /* Example 1: Angled rope pulling on a box */

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire.

Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance (e.g. the length of the rope). For instance, a sled can be pulled by a team of Siberian Huskies with ropes secured to them which lets the dogs run with a larger range of motion compared to requiring the Huskies to push on the back surface of the sled from behind using the normal force. (Yes, that would be the most pathetic dog sled team ever.)
It's important to note here that tension is a pulling force since ropes simply can't push effectively. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, people often draw the force of tension going in the wrong direction so remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

we use Newton's second law to relate the motion of the object to the forces involved. To be specific we can,

#Draw the forces exerted on the object in question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

We'll use this problem solving strategy in the solved examples below.

== Example Problems ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of cucumber extract is being pulled across a frictionless table by a rope at an angle θ=60º as seen below. The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

First draw a force diagram of all the forces acting on the box.
[[File:tensionex1.jpg| center | 400px|thumb|middle]]

Now we use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since we know the acceleration horizontally, and since we know tension is the only force directed horizontally, we'll use Newton's second law in the horizontal direction.

#a= ΣF/m (use Newtons's second law for the horizontal direction)
#3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)
#Tcos60º=(3.0 m/s^2)(2.0kg)
#T=[(3.0 m/s^2)(2.0kg)]/(cos60º)
#T=12N

=== Example 2: Box hanging from two ropes ===

A 0.25 kg container of animal crackers hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T1 is directed at an angle θ=30º from the horizontal direction as seen below.

What are the tensions (T1 and T2) in the two strings?

First we draw a force diagram of all the forces acting on the container of animal crackers.

Now we have to use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since we know the force of gravity, which is a vertical force, we'll start with '''Newton's second law in the vertical direction.'''

#a=ΣF/m (use Newtons's second law for the vertical direction)
#0=(T2*sin30º-Fg)/0.25kg
#T2=Fg/(sin30º)
#T2=mg/(sin30º)
#T2=[(0.25kg)(9.8m/s²)]/(sin30º)
#T2=4.9N

Now that we know T2 we can solve for the tension T1 using '''Newton's second law for the horizontal direction'''.
#a=ΣF/m (use Newtons's second law for the horizontal direction)
#0=(T2*cos30º-T1)/0.25kg (plug in the horizontal acceleration, mass, and horizontal forces)
#T1=T2*cos30º
#T1=(4.9N)*cos30º
#T1=4.2N

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

File:Tensionex1.jpg

2015-12-02T04:44:41Z

Chloejhkim:

Tension

2015-12-02T04:33:53Z

Chloejhkim: /* Example 1: Angled rope pulling on a box */

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire.

Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance (e.g. the length of the rope). For instance, a sled can be pulled by a team of Siberian Huskies with ropes secured to them which lets the dogs run with a larger range of motion compared to requiring the Huskies to push on the back surface of the sled from behind using the normal force. (Yes, that would be the most pathetic dog sled team ever.)
It's important to note here that tension is a pulling force since ropes simply can't push effectively. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, people often draw the force of tension going in the wrong direction so remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

we use Newton's second law to relate the motion of the object to the forces involved. To be specific we can,

#Draw the forces exerted on the object in question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

We'll use this problem solving strategy in the solved examples below.

== Example Problems ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of cucumber extract is being pulled across a frictionless table by a rope at an angle θ=60º as seen below. The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

First draw a force diagram of all the forces acting on the box.

[[File: physics1.png | frame | 300px|thumb|middle]]

Now we use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since we know the acceleration horizontally, and since we know tension is the only force directed horizontally, we'll use Newton's second law in the horizontal direction.

#a= ΣF/m (use Newtons's second law for the horizontal direction)
#3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)
#Tcos60º=(3.0 m/s^2)(2.0kg)
#T=[(3.0 m/s^2)(2.0kg)]/(cos60º)
#T=12N

=== Example 2: Box hanging from two ropes ===

A 0.25 kg container of animal crackers hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T1 is directed at an angle θ=30º from the horizontal direction as seen below.

What are the tensions (T1 and T2) in the two strings?

First we draw a force diagram of all the forces acting on the container of animal crackers.

Now we have to use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since we know the force of gravity, which is a vertical force, we'll start with '''Newton's second law in the vertical direction.'''

#a=ΣF/m (use Newtons's second law for the vertical direction)
#0=(T2*sin30º-Fg)/0.25kg
#T2=Fg/(sin30º)
#T2=mg/(sin30º)
#T2=[(0.25kg)(9.8m/s²)]/(sin30º)
#T2=4.9N

Now that we know T2 we can solve for the tension T1 using '''Newton's second law for the horizontal direction'''.
#a=ΣF/m (use Newtons's second law for the horizontal direction)
#0=(T2*cos30º-T1)/0.25kg (plug in the horizontal acceleration, mass, and horizontal forces)
#T1=T2*cos30º
#T1=(4.9N)*cos30º
#T1=4.2N

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-12-02T04:32:45Z

Chloejhkim: /* Example 1: Angled rope pulling on a box */

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire.

Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance (e.g. the length of the rope). For instance, a sled can be pulled by a team of Siberian Huskies with ropes secured to them which lets the dogs run with a larger range of motion compared to requiring the Huskies to push on the back surface of the sled from behind using the normal force. (Yes, that would be the most pathetic dog sled team ever.)
It's important to note here that tension is a pulling force since ropes simply can't push effectively. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, people often draw the force of tension going in the wrong direction so remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

we use Newton's second law to relate the motion of the object to the forces involved. To be specific we can,

#Draw the forces exerted on the object in question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

We'll use this problem solving strategy in the solved examples below.

== Example Problems ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of cucumber extract is being pulled across a frictionless table by a rope at an angle θ=60º as seen below. The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

First draw a force diagram of all the forces acting on the box.

[[File: physics1.png | frame | 300px|thumb|left]]

Now we use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since we know the acceleration horizontally, and since we know tension is the only force directed horizontally, we'll use Newton's second law in the horizontal direction.

#a= ΣF/m (use Newtons's second law for the horizontal direction)
#3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)
#Tcos60º=(3.0 m/s^2)(2.0kg)
#T=[(3.0 m/s^2)(2.0kg)]/(cos60º)
#T=12N

=== Example 2: Box hanging from two ropes ===

A 0.25 kg container of animal crackers hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T1 is directed at an angle θ=30º from the horizontal direction as seen below.

What are the tensions (T1 and T2) in the two strings?

First we draw a force diagram of all the forces acting on the container of animal crackers.

Now we have to use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since we know the force of gravity, which is a vertical force, we'll start with '''Newton's second law in the vertical direction.'''

#a=ΣF/m (use Newtons's second law for the vertical direction)
#0=(T2*sin30º-Fg)/0.25kg
#T2=Fg/(sin30º)
#T2=mg/(sin30º)
#T2=[(0.25kg)(9.8m/s²)]/(sin30º)
#T2=4.9N

Now that we know T2 we can solve for the tension T1 using '''Newton's second law for the horizontal direction'''.
#a=ΣF/m (use Newtons's second law for the horizontal direction)
#0=(T2*cos30º-T1)/0.25kg (plug in the horizontal acceleration, mass, and horizontal forces)
#T1=T2*cos30º
#T1=(4.9N)*cos30º
#T1=4.2N

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-12-02T04:32:06Z

Chloejhkim: /* Example 1: Angled rope pulling on a box */

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire.

Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance (e.g. the length of the rope). For instance, a sled can be pulled by a team of Siberian Huskies with ropes secured to them which lets the dogs run with a larger range of motion compared to requiring the Huskies to push on the back surface of the sled from behind using the normal force. (Yes, that would be the most pathetic dog sled team ever.)
It's important to note here that tension is a pulling force since ropes simply can't push effectively. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, people often draw the force of tension going in the wrong direction so remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

we use Newton's second law to relate the motion of the object to the forces involved. To be specific we can,

#Draw the forces exerted on the object in question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

We'll use this problem solving strategy in the solved examples below.

== Example Problems ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of cucumber extract is being pulled across a frictionless table by a rope at an angle θ=60º as seen below. The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

First draw a force diagram of all the forces acting on the box.
[[File: physics1.png | frame | 300px|thumb|left]]

Now we use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since we know the acceleration horizontally, and since we know tension is the only force directed horizontally, we'll use Newton's second law in the horizontal direction.

#a= ΣF/m (use Newtons's second law for the horizontal direction)
#3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)
#Tcos60º=(3.0 m/s^2)(2.0kg)
#T=[(3.0 m/s^2)(2.0kg)]/(cos60º)
#T=12N

=== Example 2: Box hanging from two ropes ===

A 0.25 kg container of animal crackers hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T1 is directed at an angle θ=30º from the horizontal direction as seen below.

What are the tensions (T1 and T2) in the two strings?

First we draw a force diagram of all the forces acting on the container of animal crackers.

Now we have to use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since we know the force of gravity, which is a vertical force, we'll start with '''Newton's second law in the vertical direction.'''

#a=ΣF/m (use Newtons's second law for the vertical direction)
#0=(T2*sin30º-Fg)/0.25kg
#T2=Fg/(sin30º)
#T2=mg/(sin30º)
#T2=[(0.25kg)(9.8m/s²)]/(sin30º)
#T2=4.9N

Now that we know T2 we can solve for the tension T1 using '''Newton's second law for the horizontal direction'''.
#a=ΣF/m (use Newtons's second law for the horizontal direction)
#0=(T2*cos30º-T1)/0.25kg (plug in the horizontal acceleration, mass, and horizontal forces)
#T1=T2*cos30º
#T1=(4.9N)*cos30º
#T1=4.2N

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-12-02T04:31:07Z

Chloejhkim: /* Example 1: Angled rope pulling on a box */

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire.

Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance (e.g. the length of the rope). For instance, a sled can be pulled by a team of Siberian Huskies with ropes secured to them which lets the dogs run with a larger range of motion compared to requiring the Huskies to push on the back surface of the sled from behind using the normal force. (Yes, that would be the most pathetic dog sled team ever.)
It's important to note here that tension is a pulling force since ropes simply can't push effectively. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, people often draw the force of tension going in the wrong direction so remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

we use Newton's second law to relate the motion of the object to the forces involved. To be specific we can,

#Draw the forces exerted on the object in question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

We'll use this problem solving strategy in the solved examples below.

== Example Problems ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of cucumber extract is being pulled across a frictionless table by a rope at an angle θ=60º as seen below. The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

First draw a force diagram of all the forces acting on the box.
[[File: physics1.png |200px|thumb|left]]

Now we use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since we know the acceleration horizontally, and since we know tension is the only force directed horizontally, we'll use Newton's second law in the horizontal direction.

#a= ΣF/m (use Newtons's second law for the horizontal direction)
#3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)
#Tcos60º=(3.0 m/s^2)(2.0kg)
#T=[(3.0 m/s^2)(2.0kg)]/(cos60º)
#T=12N

=== Example 2: Box hanging from two ropes ===

A 0.25 kg container of animal crackers hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T1 is directed at an angle θ=30º from the horizontal direction as seen below.

What are the tensions (T1 and T2) in the two strings?

First we draw a force diagram of all the forces acting on the container of animal crackers.

Now we have to use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since we know the force of gravity, which is a vertical force, we'll start with '''Newton's second law in the vertical direction.'''

#a=ΣF/m (use Newtons's second law for the vertical direction)
#0=(T2*sin30º-Fg)/0.25kg
#T2=Fg/(sin30º)
#T2=mg/(sin30º)
#T2=[(0.25kg)(9.8m/s²)]/(sin30º)
#T2=4.9N

Now that we know T2 we can solve for the tension T1 using '''Newton's second law for the horizontal direction'''.
#a=ΣF/m (use Newtons's second law for the horizontal direction)
#0=(T2*cos30º-T1)/0.25kg (plug in the horizontal acceleration, mass, and horizontal forces)
#T1=T2*cos30º
#T1=(4.9N)*cos30º
#T1=4.2N

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-12-02T04:29:59Z

Chloejhkim:

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire.

Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance (e.g. the length of the rope). For instance, a sled can be pulled by a team of Siberian Huskies with ropes secured to them which lets the dogs run with a larger range of motion compared to requiring the Huskies to push on the back surface of the sled from behind using the normal force. (Yes, that would be the most pathetic dog sled team ever.)
It's important to note here that tension is a pulling force since ropes simply can't push effectively. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, people often draw the force of tension going in the wrong direction so remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

we use Newton's second law to relate the motion of the object to the forces involved. To be specific we can,

#Draw the forces exerted on the object in question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

We'll use this problem solving strategy in the solved examples below.

== Example Problems ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of cucumber extract is being pulled across a frictionless table by a rope at an angle θ=60º as seen below. The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

First draw a force diagram of all the forces acting on the box.
[[File: physics.png |200px|thumb|right]]

Now we use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since we know the acceleration horizontally, and since we know tension is the only force directed horizontally, we'll use Newton's second law in the horizontal direction.

#a= ΣF/m (use Newtons's second law for the horizontal direction)
#3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)
#Tcos60º=(3.0 m/s^2)(2.0kg)
#T=[(3.0 m/s^2)(2.0kg)]/(cos60º)
#T=12N

=== Example 2: Box hanging from two ropes ===

A 0.25 kg container of animal crackers hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T1 is directed at an angle θ=30º from the horizontal direction as seen below.

What are the tensions (T1 and T2) in the two strings?

First we draw a force diagram of all the forces acting on the container of animal crackers.

Now we have to use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since we know the force of gravity, which is a vertical force, we'll start with '''Newton's second law in the vertical direction.'''

#a=ΣF/m (use Newtons's second law for the vertical direction)
#0=(T2*sin30º-Fg)/0.25kg
#T2=Fg/(sin30º)
#T2=mg/(sin30º)
#T2=[(0.25kg)(9.8m/s²)]/(sin30º)
#T2=4.9N

Now that we know T2 we can solve for the tension T1 using '''Newton's second law for the horizontal direction'''.
#a=ΣF/m (use Newtons's second law for the horizontal direction)
#0=(T2*cos30º-T1)/0.25kg (plug in the horizontal acceleration, mass, and horizontal forces)
#T1=T2*cos30º
#T1=(4.9N)*cos30º
#T1=4.2N

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-11-30T08:28:24Z

Chloejhkim: /* Example Problem */

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire.

Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance (e.g. the length of the rope). For instance, a sled can be pulled by a team of Siberian Huskies with ropes secured to them which lets the dogs run with a larger range of motion compared to requiring the Huskies to push on the back surface of the sled from behind using the normal force. (Yes, that would be the most pathetic dog sled team ever.)
It's important to note here that tension is a pulling force since ropes simply can't push effectively. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, people often draw the force of tension going in the wrong direction so remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

we use Newton's second law to relate the motion of the object to the forces involved. To be specific we can,

#Draw the forces exerted on the object in question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

We'll use this problem solving strategy in the solved examples below.

== Example Problems ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of cucumber extract is being pulled across a frictionless table by a rope at an angle θ=60º as seen below. The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

First draw a force diagram of all the forces acting on the box.

Now we use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since we know the acceleration horizontally, and since we know tension is the only force directed horizontally, we'll use Newton's second law in the horizontal direction.

#a= ΣF/m (use Newtons's second law for the horizontal direction)
#3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)
#Tcos60º=(3.0 m/s^2)(2.0kg)
#T=[(3.0 m/s^2)(2.0kg)]/(cos60º)
#T=12N

=== Example 2: Box hanging from two ropes ===

A 0.25 kg container of animal crackers hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T1 is directed at an angle θ=30º from the horizontal direction as seen below.

What are the tensions (T1 and T2) in the two strings?

First we draw a force diagram of all the forces acting on the container of animal crackers.

Now we have to use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since we know the force of gravity, which is a vertical force, we'll start with '''Newton's second law in the vertical direction.'''

#a=ΣF/m (use Newtons's second law for the vertical direction)
#0=(T2*sin30º-Fg)/0.25kg
#T2=Fg/(sin30º)
#T2=mg/(sin30º)
#T2=[(0.25kg)(9.8m/s²)]/(sin30º)
#T2=4.9N

Now that we know T2 we can solve for the tension T1 using '''Newton's second law for the horizontal direction'''.
#a=ΣF/m (use Newtons's second law for the horizontal direction)
#0=(T2*cos30º-T1)/0.25kg (plug in the horizontal acceleration, mass, and horizontal forces)
#T1=T2*cos30º
#T1=(4.9N)*cos30º
#T1=4.2N

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-11-30T08:27:12Z

Chloejhkim: /* Example 2: Box hanging from two ropes */

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire.

Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance (e.g. the length of the rope). For instance, a sled can be pulled by a team of Siberian Huskies with ropes secured to them which lets the dogs run with a larger range of motion compared to requiring the Huskies to push on the back surface of the sled from behind using the normal force. (Yes, that would be the most pathetic dog sled team ever.)
It's important to note here that tension is a pulling force since ropes simply can't push effectively. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, people often draw the force of tension going in the wrong direction so remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

we use Newton's second law to relate the motion of the object to the forces involved. To be specific we can,

#Draw the forces exerted on the object in question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

We'll use this problem solving strategy in the solved examples below.

== Example Problem ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of cucumber extract is being pulled across a frictionless table by a rope at an angle θ=60º as seen below. The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

First draw a force diagram of all the forces acting on the box.

Now we use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since we know the acceleration horizontally, and since we know tension is the only force directed horizontally, we'll use Newton's second law in the horizontal direction.

#a= ΣF/m (use Newtons's second law for the horizontal direction)
#3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)
#Tcos60º=(3.0 m/s^2)(2.0kg)
#T=[(3.0 m/s^2)(2.0kg)]/(cos60º)
#T=12N

=== Example 2: Box hanging from two ropes ===

A 0.25 kg container of animal crackers hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T1 is directed at an angle θ=30º from the horizontal direction as seen below.

What are the tensions (T1 and T2) in the two strings?

First we draw a force diagram of all the forces acting on the container of animal crackers.

Now we have to use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since we know the force of gravity, which is a vertical force, we'll start with '''Newton's second law in the vertical direction.'''

#a=ΣF/m (use Newtons's second law for the vertical direction)
#0=(T2*sin30º-Fg)/0.25kg
#T2=Fg/(sin30º)
#T2=mg/(sin30º)
#T2=[(0.25kg)(9.8m/s²)]/(sin30º)
#T2=4.9N

Now that we know T2 we can solve for the tension T1 using '''Newton's second law for the horizontal direction'''.
#a=ΣF/m (use Newtons's second law for the horizontal direction)
#0=(T2*cos30º-T1)/0.25kg (plug in the horizontal acceleration, mass, and horizontal forces)
#T1=T2*cos30º
#T1=(4.9N)*cos30º
#T1=4.2N

=== Example 3: Lifting Mass ===

=== Example 4: Person In An Elevator ===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-11-30T08:17:21Z

Chloejhkim: /* Example 1: Angled rope pulling on a box */

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire.

Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance (e.g. the length of the rope). For instance, a sled can be pulled by a team of Siberian Huskies with ropes secured to them which lets the dogs run with a larger range of motion compared to requiring the Huskies to push on the back surface of the sled from behind using the normal force. (Yes, that would be the most pathetic dog sled team ever.)
It's important to note here that tension is a pulling force since ropes simply can't push effectively. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, people often draw the force of tension going in the wrong direction so remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

we use Newton's second law to relate the motion of the object to the forces involved. To be specific we can,

#Draw the forces exerted on the object in question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

We'll use this problem solving strategy in the solved examples below.

== Example Problem ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of cucumber extract is being pulled across a frictionless table by a rope at an angle θ=60º as seen below. The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

First draw a force diagram of all the forces acting on the box.

Now we use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since we know the acceleration horizontally, and since we know tension is the only force directed horizontally, we'll use Newton's second law in the horizontal direction.

#a= ΣF/m (use Newtons's second law for the horizontal direction)
#3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)
#Tcos60º=(3.0 m/s^2)(2.0kg)
#T=[(3.0 m/s^2)(2.0kg)]/(cos60º)
#T=12N

=== Example 2: Box hanging from two ropes ===

A 0.25 \text{ kg}0.25 kg0, point, 25, space, k, g container of animal crackers hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T_2T
2
T, start subscript, 2, end subscript is directed at an angle \theta=30^oθ=30
o
theta, equals, 30, start superscript, o, end superscript from the horizontal direction as seen below.

What are the tensions (T_1(T
1
left parenthesis, T, start subscript, 1, end subscript and T_2)T
2
)T, start subscript, 2, end subscript, right parenthesis in the two strings?

First we draw a force diagram of all the forces acting on the container of animal crackers.

Now we have to use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since we know the force of gravity, which is a vertical force, we'll start with '''Newton's second law in the vertical direction.'''

=== Example 3: Lifting Mass ===

=== Example 4: Person In An Elevator ===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-11-30T08:15:13Z

Chloejhkim: /* Example 1: Angled rope pulling on a box */

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire.

Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance (e.g. the length of the rope). For instance, a sled can be pulled by a team of Siberian Huskies with ropes secured to them which lets the dogs run with a larger range of motion compared to requiring the Huskies to push on the back surface of the sled from behind using the normal force. (Yes, that would be the most pathetic dog sled team ever.)
It's important to note here that tension is a pulling force since ropes simply can't push effectively. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, people often draw the force of tension going in the wrong direction so remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

we use Newton's second law to relate the motion of the object to the forces involved. To be specific we can,

#Draw the forces exerted on the object in question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

We'll use this problem solving strategy in the solved examples below.

== Example Problem ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of cucumber extract is being pulled across a frictionless table by a rope at an angle θ=60º as seen below. The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

#First draw a force diagram of all the forces acting on the box.

Now we use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since we know the acceleration horizontally, and since we know tension is the only force directed horizontally, we'll use Newton's second law in the horizontal direction.

a= ΣF/m (use Newtons's second law for the horizontal direction)

3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)

=== Example 2: Box hanging from two ropes ===

A 0.25 \text{ kg}0.25 kg0, point, 25, space, k, g container of animal crackers hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T_2T
2
T, start subscript, 2, end subscript is directed at an angle \theta=30^oθ=30
o
theta, equals, 30, start superscript, o, end superscript from the horizontal direction as seen below.

What are the tensions (T_1(T
1
left parenthesis, T, start subscript, 1, end subscript and T_2)T
2
)T, start subscript, 2, end subscript, right parenthesis in the two strings?

First we draw a force diagram of all the forces acting on the container of animal crackers.

Now we have to use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since we know the force of gravity, which is a vertical force, we'll start with '''Newton's second law in the vertical direction.'''

=== Example 3: Lifting Mass ===

=== Example 4: Person In An Elevator ===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-11-30T08:14:35Z

Chloejhkim:

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire.

Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance (e.g. the length of the rope). For instance, a sled can be pulled by a team of Siberian Huskies with ropes secured to them which lets the dogs run with a larger range of motion compared to requiring the Huskies to push on the back surface of the sled from behind using the normal force. (Yes, that would be the most pathetic dog sled team ever.)
It's important to note here that tension is a pulling force since ropes simply can't push effectively. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, people often draw the force of tension going in the wrong direction so remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

we use Newton's second law to relate the motion of the object to the forces involved. To be specific we can,

#Draw the forces exerted on the object in question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

We'll use this problem solving strategy in the solved examples below.

== Example Problem ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of cucumber extract is being pulled across a frictionless table by a rope at an angle θ=60º as seen below. The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

#First draw a force diagram of all the forces acting on the box.

Now we use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since we know the acceleration horizontally, and since we know tension is the only force directed horizontally, we'll use Newton's second law in the horizontal direction.

a= ΣF/m (use Newtons's second law for the horizontal direction)
3.0 m/s^2=Tcos60º/2.0kg (plug in the horizontal acceleration, mass, and horizontal forces)

=== Example 2: Box hanging from two ropes ===

A 0.25 \text{ kg}0.25 kg0, point, 25, space, k, g container of animal crackers hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T_2T
2
T, start subscript, 2, end subscript is directed at an angle \theta=30^oθ=30
o
theta, equals, 30, start superscript, o, end superscript from the horizontal direction as seen below.

What are the tensions (T_1(T
1
left parenthesis, T, start subscript, 1, end subscript and T_2)T
2
)T, start subscript, 2, end subscript, right parenthesis in the two strings?

First we draw a force diagram of all the forces acting on the container of animal crackers.

Now we have to use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since we know the force of gravity, which is a vertical force, we'll start with '''Newton's second law in the vertical direction.'''

=== Example 3: Lifting Mass ===

=== Example 4: Person In An Elevator ===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-11-30T07:50:48Z

Chloejhkim:

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire.

Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance (e.g. the length of the rope). For instance, a sled can be pulled by a team of Siberian Huskies with ropes secured to them which lets the dogs run with a larger range of motion compared to requiring the Huskies to push on the back surface of the sled from behind using the normal force. (Yes, that would be the most pathetic dog sled team ever.)
It's important to note here that tension is a pulling force since ropes simply can't push effectively. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, people often draw the force of tension going in the wrong direction so remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

we use Newton's second law to relate the motion of the object to the forces involved. To be specific we can,

#Draw the forces exerted on the object in question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

We'll use this problem solving strategy in the solved examples below.

== Example Problem ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of cucumber extract is being pulled across a frictionless table by a rope at an angle θ=60 as seen below. The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

#First draw a force diagram of all the forces acting on the box.
[[File:physics1.jpg]] [[Media:physics1.ogg]]

Now we use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since we know the acceleration horizontally, and since we know tension is the only force directed horizontally, we'll use Newton's second law in the horizontal direction.
a
x
=
m

ΣF
x

(use Newtons's second law for the horizontal direction)
3.0\dfrac{\text{m}}{\text{ s}^2}=\dfrac{\purpleD {T} \text{cos}60^o}{2.0\text{ kg}} \quad \text{(plug in the horizontal acceleration, mass, and horizontal forces)}3.0
s
2

m
=
2.0 kg

Tcos60
o

(plug in the horizontal acceleration, mass, and horizontal forces)
=== Example 2: Box hanging from two ropes ===

A 0.25 \text{ kg}0.25 kg0, point, 25, space, k, g container of animal crackers hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T_2T
2
T, start subscript, 2, end subscript is directed at an angle \theta=30^oθ=30
o
theta, equals, 30, start superscript, o, end superscript from the horizontal direction as seen below.

What are the tensions (T_1(T
1
left parenthesis, T, start subscript, 1, end subscript and T_2)T
2
)T, start subscript, 2, end subscript, right parenthesis in the two strings?

First we draw a force diagram of all the forces acting on the container of animal crackers.

Now we have to use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since we know the force of gravity, which is a vertical force, we'll start with '''Newton's second law in the vertical direction.'''

=== Example 3: Lifting Mass ===

=== Example 4: Person In An Elevator ===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

File:Physics1.png

2015-11-30T07:47:07Z

Chloejhkim:

Tension

2015-11-30T07:45:07Z

Chloejhkim:

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire.

Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance (e.g. the length of the rope). For instance, a sled can be pulled by a team of Siberian Huskies with ropes secured to them which lets the dogs run with a larger range of motion compared to requiring the Huskies to push on the back surface of the sled from behind using the normal force. (Yes, that would be the most pathetic dog sled team ever.)
It's important to note here that tension is a pulling force since ropes simply can't push effectively. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, people often draw the force of tension going in the wrong direction so remember that tension can only pull on an object.

----

=== How To Calculate Tension Force ===

we use Newton's second law to relate the motion of the object to the forces involved. To be specific we can,

#Draw the forces exerted on the object in question.
#Write down Newton's second law (a= ΣF/m ) for a direction in which the tension is directed.
#Solve for the tension using the Newton's second law equation (a= ΣF/m )

We'll use this problem solving strategy in the solved examples below.

== Example Problem ==

=== Example 1: Angled rope pulling on a box ===
A 2.0kg box of cucumber extract is being pulled across a frictionless table by a rope at an angle θ=60 as seen below. The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0 m/s^2

'''What is the tension in the rope?'''

#First draw a force diagram of all the forces acting on the box.
[[File:physics1.jpg]]

Now we use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since we know the acceleration horizontally, and since we know tension is the only force directed horizontally, we'll use Newton's second law in the horizontal direction.
a
x
=
m

ΣF
x

(use Newtons's second law for the horizontal direction)
3.0\dfrac{\text{m}}{\text{ s}^2}=\dfrac{\purpleD {T} \text{cos}60^o}{2.0\text{ kg}} \quad \text{(plug in the horizontal acceleration, mass, and horizontal forces)}3.0
s
2

m
=
2.0 kg

Tcos60
o

(plug in the horizontal acceleration, mass, and horizontal forces)
=== Example 2: Box hanging from two ropes ===

A 0.25 \text{ kg}0.25 kg0, point, 25, space, k, g container of animal crackers hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T_2T
2
T, start subscript, 2, end subscript is directed at an angle \theta=30^oθ=30
o
theta, equals, 30, start superscript, o, end superscript from the horizontal direction as seen below.

What are the tensions (T_1(T
1
left parenthesis, T, start subscript, 1, end subscript and T_2)T
2
)T, start subscript, 2, end subscript, right parenthesis in the two strings?

First we draw a force diagram of all the forces acting on the container of animal crackers.

Now we have to use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since we know the force of gravity, which is a vertical force, we'll start with '''Newton's second law in the vertical direction.'''

=== Example 3: Lifting Mass ===

=== Example 4: Person In An Elevator ===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-11-30T07:29:15Z

Chloejhkim:

claimed by Jae Hee Kim (chloejhkim)

This topic covers Tension.

== What is Tension? ==
The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire.

Ropes and cables are useful for exerting forces since they can efficiently transfer a force over a significant distance (e.g. the length of the rope). For instance, a sled can be pulled by a team of Siberian Huskies with ropes secured to them which lets the dogs run with a larger range of motion compared to requiring the Huskies to push on the back surface of the sled from behind using the normal force. (Yes, that would be the most pathetic dog sled team ever.)
It's important to note here that tension is a pulling force since ropes simply can't push effectively. Trying to push with a rope causes the rope to go slack and lose the tension that allowed it to pull in the first place. This might sound obvious, but when it comes time to draw the forces acting on an object, people often draw the force of tension going in the wrong direction so remember that tension can only pull on an object.

=== How To Calculate Tension Force ===

we use Newton's second law to relate the motion of the object to the forces involved. To be specific we can,
Draw the forces exerted on the object in question.
Write down Newton's second law (a=\dfrac{\Sigma F}{m})(a=
m

ΣF
) for a direction in which the tension is directed.
Solve for the tension using the Newton's second law equation a=\dfrac{\Sigma F}{m}a=
m

ΣF
.
We'll use this problem solving strategy in the solved examples below.

== Example Problem ==

=== Example 1: Angled rope pulling on a box ===
A 2.0 \text{ kg}2.0 kg2, point, 0, space, k, g box of cucumber extract is being pulled across a frictionless table by a rope at an angle \theta=60^oθ=60
o
theta, equals, 60, start superscript, o, end superscript as seen below. The tension in the rope causes the box to slide across the table to the right with an acceleration of 3.0\dfrac{\text{m}}{\text{ s}^2}3.0
s
2

m
3, point, 0, start fraction, m, divided by, space, s, start superscript, 2, end superscript, end fraction.

'''What is the tension in the rope?'''

First we draw a force diagram of all the forces acting on the box.

Now we use Newton's second law. The tension is directed both vertically and horizontally, so it's a little unclear which direction to choose. However, since we know the acceleration horizontally, and since we know tension is the only force directed horizontally, we'll use Newton's second law in the horizontal direction.
a
x
=
m

ΣF
x

(use Newtons's second law for the horizontal direction)
3.0\dfrac{\text{m}}{\text{ s}^2}=\dfrac{\purpleD {T} \text{cos}60^o}{2.0\text{ kg}} \quad \text{(plug in the horizontal acceleration, mass, and horizontal forces)}3.0
s
2

m
=
2.0 kg

Tcos60
o

(plug in the horizontal acceleration, mass, and horizontal forces)
=== Example 2: Box hanging from two ropes ===

A 0.25 \text{ kg}0.25 kg0, point, 25, space, k, g container of animal crackers hangs at rest from two strings secured to the ceiling and wall respectively. The diagonal rope under tension T_2T
2
T, start subscript, 2, end subscript is directed at an angle \theta=30^oθ=30
o
theta, equals, 30, start superscript, o, end superscript from the horizontal direction as seen below.

What are the tensions (T_1(T
1
left parenthesis, T, start subscript, 1, end subscript and T_2)T
2
)T, start subscript, 2, end subscript, right parenthesis in the two strings?

First we draw a force diagram of all the forces acting on the container of animal crackers.

Now we have to use Newton's second law. There are tensions directed both vertically and horizontally, so again it's a little unclear which direction to choose. However, since we know the force of gravity, which is a vertical force, we'll start with '''Newton's second law in the vertical direction.'''

=== Example 3: Lifting Mass ===

=== Example 4: Person In An Elevator ===

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/a/what-is-tension
http://www.physicsclassroom.com/Class/newtlaws/U2L2b.cfm#tension
http://hyperphysics.phy-astr.gsu.edu/hbase/mlif.html
http://hyperphysics.phy-astr.gsu.edu/hbase/elev.html
http://www.softschools.com/formulas/physics/tension_formula/70/
http://physics.stackexchange.com/questions/36175/understanding-tension
http://www.brightstorm.com/science/physics/newtons-laws-of-motion/tension/

[[Category:Which Category did you place this in?]]

Tension

2015-11-30T06:57:25Z

Chloejhkim:

Tension

2015-11-30T04:43:38Z

Chloejhkim:

claimed by Jae Hee Kim (chloejhkim)

Contents [hide]
1 Thermodynamics
1.1 Zeroth Law
1.1.1 A Mathematical Model
1.1.2 A Computational Model
1.2 First Law
1.2.1 A Mathematical Model
2 Second Law
2.1 Mathematical Models
2.2 Examples
3 Connectedness
4 History
5 See also
5.1 Further reading
5.2 External links
6 References
Thermodynamics[edit]
This topics focuses on energy work of a system but it can only deal with a large scale response to heat in a system. Thermodynamics is the study of the work, heat and energy of a system. The smaller scale gas interactions can explained using the kinetic theory of gases. There are three fundamental laws that go along with the topic of thermodynamics. They are the zeroth law, the first law, and the second law. These laws help us understand predict the the operation of the physical system. In order to understand the laws, you must first understand thermal equilibrium. Thermal equilibrium is reached when a object that is at a higher temperature is in contact with an object that is at a lower temperature and the first object transfers heat to the latter object until they approach the same temperature and maintain that temperature constantly. It is also important to note that any thermodynamic system in thermal equilibrium possesses internal energy.

Zeroth Law[edit]
The zeroth law states that if two systems are at thermal equilibrium at the same time as a third system, then all of the systems are at equilibrium with each other. If systems A and C are in thermal equilibrium with B, then system A and C are also in thermal equilibrium with each other. There are underlying ideas of heat that are also important. The most prominent one is that all heat is of the same kind. As long as the systems are at thermal equilibrium, every unit of internal energy that passes from one system to the other is balanced by the same amount of energy passing back. This also applies when the two systems or objects have different atomic masses or material.

A Mathematical Model[edit]
If A = B and A = C, then B = C A = B = C

A Computational Model[edit]
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

First Law[edit]
The first law of thermodynamics defines the internal energy (E) as equal to the difference between heat transfer (Q) into a system and work (W) done by the system. Heat removed from a system would be given a negative sign and heat applied to the system would be given a positive sign. Internal energy can be converted into other types of energy because it acts like potential energy. Heat and work, however, cannot be stored or conserved independently because they depend on the process. This allows for many different possible states of a system to exist. There can be a process known as the adiabatic process in which there is no heat transfer. This occurs when a system is full insulated from the outside environment. The implementation of this law also brings about another useful state variable, enthalpy.

A Mathematical Model[edit]
E2 - E1 = Q - W

Second Law[edit]
The second law states that there is another useful variable of heat, entropy (S). Entropy can be described as the disorder or chaos of a system, but in physics, we will just refer to it as another variable like enthalpy or temperature. For any given physical process, the combined entropy of a system and the environment remains a constant if the process can be reversed. The second law also states that if the physical process is irreversible, the combined entropy of the system and the environment must increase. Therefore, the final entropy must be greater than the initial entropy.

Mathematical Models[edit]
delta S = delta Q/T Sf = Si (reversible process) Sf > Si (irreversible process)

Examples[edit]
Reversible process: Ideally forcing a flow through a constricted pipe, where there are no boundary layers. As the flow moves through the constriction, the pressure, volume and temperature change, but they return to their normal values once they hit the downstream. This return to the variables' original values allows there to be no change in entropy. It is often known as an isentropic process.

Irreversible process: When a hot object and cold object are put in contact with each other, eventually the heat from the hot object will transfer to the cold object and the two will reach the same temperature and stay constant at that temperature, reaching equilibrium. However, once those objects are separated, they will remain at that equilibrium temperature until something else acts upon it. The objects do not go back to their original temperatures so there is a change in entropy.

Connectedness[edit]
How is this topic connected to something that you are interested in?
How is it connected to your major?
Is there an interesting industrial application?
History[edit]
Thermodynamics was brought up as a science in the 18th and 19th centuries. However, it was first brought up by Galilei, who introduced the concept of temperature and invented the first thermometer. G. Black first introduced the word 'thermodynamics'. Later, G. Wilke introduced another unit of measurement known as the calorie that measures heat. The idea of thermodynamics was brought up by Nicolas Leonard Sadi Carnot. He is often known as "the father of thermodynamics". It all began with the development of the steam engine during the Industrial Revolution. He devised an ideal cycle of operation. During his observations and experimentations, he had the incorrect notion that heat is conserved, however he was able to lay down theorems that led to the development of thermodynamics. In the 20th century, the science of thermodynamics became a conventional term and a basic division of physics. Thermodynamics dealt with the study of general properties of physical systems under equilibrium and the conditions necessary to obtain equilibrium.

See also[edit]
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

Further reading[edit]
Books, Articles or other print media on this topic

External links[edit]
Internet resources on this topic

References[edit]
https://www.grc.nasa.gov/www/k-12/airplane/thermo0.html http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/thereq.html https://www.grc.nasa.gov/www/k-12/airplane/thermo2.html http://www.phys.nthu.edu.tw/~thschang/notes/GP21.pdf http://www.eoearth.org/view/article/153532/

Tension

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__NOTOC__
Welcome to the Georgia Tech Wiki for Intro Physics. This resources 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!

Looking to make a contribution?
#Pick a specific topic from intro physics
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.
#Copy and paste the default [[Template]] into your new page and start editing.

Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations. Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.

== Source Material ==
All of the content added to this resource must be in the public domain or similar free resource. If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web. Here is an incomplete list of intro physics resources (please update as needed).
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]
* 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]
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]

== Organizing Catagories ==
These are the broad, overarching categories, that we cover in two semester of introductory physics. You can add subcategories or make a new category as needed. A single topic should direct readers to a page in one of these catagories.

<div class="toccolours mw-collapsible mw-collapsed">
===Interactions===
<div class="mw-collapsible-content">
*[[Fundamental Interactions]]
*[[System & Surroundings]]

</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Theory===
<div class="mw-collapsible-content">
*[[Einstein's Theory of Relativity]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Properties of Matter===
<div class="mw-collapsible-content">
*[[Mass]]
*[[Charge]]
*[[Spin]]
*[[SI Units]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Contact Interactions===
<div class="mw-collapsible-content">
* [[Young's Modulus]]
* [[Friction]]
* [[Tension]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Momentum===
<div class="mw-collapsible-content">
* Vectors
* [[Kinematics]]
* Predicting Change in one dimension
* [[Predicting Change in multiple dimensions]]
* [[Momentum Principle]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Angular Momentum===
<div class="mw-collapsible-content">
* [[The Moments of Inertia]]
* Rotation
* [[Torque]]
* Predicting a Change in Rotation
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Energy===
<div class="mw-collapsible-content">
*Predicting Change
*[[Rest Mass Energy]]
*[[Kinetic Energy]]
*[[Potential Energy]]
*[[Work]]
*[[Thermal Energy]]
*[[Conservation of Energy]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Fields===
<div class="mw-collapsible-content">
* [[Electric Field]] of a
** [[Point Charge]]
** [[Electric Dipole]]
** [[Capacitor]]
** [[Charged Rod]]
** [[Charged Disk]]
** [[Charged Spherical Shell]]
*[[Electric Potential]]
**[[Potential Difference in a Uniform Field]]
*[[Magnetic Field]]
**[[Direction of Magnetic Field]]
**[[Bar Magnet]]
**[[Magnetic Force]]
**[[Hall Effect]]
**[[Lorentz Force]]
**[[Biot-Savart Law]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Simple Circuits===
<div class="mw-collapsible-content">
*[[Components]]
*[[Steady State]]
*[[Non Steady State]]
*[[Node Rule]]
*[[Loop Rule]]
*[[Power in a circuit]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Maxwell's Equations===
<div class="mw-collapsible-content">
*[[Gauss's Flux Theorem]]
**[[Electric Fields]]
**[[Magnetic Fields]]
*[[Faraday's Law]]
*[[Ampere-Maxwell Law]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Radiation===
<div class="mw-collapsible-content">
</div>
</div>

== Resources ==
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]
* A page to keep track of all the physics [[Constants]]
* An overview of [[VPython]]