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Fig. shows a symmetrical rigid body rotating about a fixed axis. The origin of coordinates is fixed for convenience at the center of mass. Prove, by summing over the contributions made to the angular momentum by all the mass elements mi into which the body is divided, that is the total angular momentum.
The figure below shows the symmetrical rigid body rotating about the fixed axis:The angular momentum of the rigid body can be given in terms of its mass element as:
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