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Old Dec 6th 2008, 07:17 AM   #1
Bob
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Angular momentum for several particles

For a system of just three particles, can any show in detail the argument leading from L=Sum (from a=1 to N) of l_a =
Sum ( from a=1 to N) of r_aX P_a to L'=external torque.

Can any show some steps or have a link to where this is explained?
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Old Dec 6th 2008, 07:24 AM   #2
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I'd say it's because the angular momentum is a vector so it can be added with other vectors. As simple as that.
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Old Dec 6th 2008, 07:31 AM   #3
Bob
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I need to show it using the sums though, and actually derive it, and i don't really know where to start and how to approach it.
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Old Dec 8th 2008, 01:16 PM   #4
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For any pair of particles, the interaction forces (action and reaction) will have equal and opposite torques (no matter what is the pivot point).
They have the same "arm" as they are along the same line.
The only torque left is the external torque.
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