Reciprocity: Difference between revisions
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::<math>{\mathbf{F}}_{12}= {\mathbf{-F}}_{21}\ | ::<math>{\mathbf{F}}_{12}= {\mathbf{-F}}_{21}\ | ||
::<math>\vec{\mathbf{F}}_{12}= vec{\mathbf{-F}}_{21} | |||
This equation on the left side. shows that object one is acting on object 2 | |||
What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings. | |||
==Examples== | ==Examples== | ||
Revision as of 15:26, 16 April 2016
claimed by ksomu3
This topic covers why forces on each other are equal.
The Main Idea
Reciprocity is the idea that the force object 1 exerts on object 2 is the same as the force object 2 exerts on object 1. This idea comes from Newton's Third Law of Motion. Forces are results of interactions. If i put my hand on a table, I am exerting a contact force on the table, but at the same time the table is using a exerting force on me. Though it seems like I am putting in more effort, the forces are the same. Forces come in pairs. The two forces are called "action" and "reaction" pairs. When forces are in these pairs, the magnitude of the two forces equal each other. However, in vector form, the two forces would be in opposite directions of each other, so one force would have a negative sign on it.
A Mathematical Model
Here is a formulaic representation of reciprocity. F12=-F21. This shows that
- [math]\displaystyle{ {\mathbf{F}}_{12}= {\mathbf{-F}}_{21}\ ::\lt math\gt \vec{\mathbf{F}}_{12}= vec{\mathbf{-F}}_{21} This equation on the left side. shows that object one is acting on object 2 What are the mathematical equations that allow us to model this topic. For example \lt math\gt {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
Examples
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