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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.

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.

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
8 years ago
The figure below shows the symmetrical rigid body rotating about the fixed axis:
232-1117_1.PNG
The angular momentum of the rigid body can be given in terms of its mass element as:
232-655_1.PNG
232-953_1.PNG
232-487_1.PNG
232-1394_1.PNG

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