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A rod of mass M and length l attached wi...

A rod of mass M and length l attached with a small bob of mass m at its end is freely rotating about a vertical axis passing through its other end with a constant angular speed `omega`. Find the force exerted by the system (rod and bob) on the pivot. Assume that gravity is absent.

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To solve the problem, we need to find the total force exerted by the rod and bob system on the pivot when the system is rotating with a constant angular speed \( \omega \) and gravity is absent. ### Step-by-Step Solution: 1. **Identify the Forces Acting on the Rod:** The rod is rotating about a vertical axis, and due to this rotation, each segment of the rod experiences a centrifugal force. We will calculate the total centrifugal force acting on the rod. 2. **Consider an Element of the Rod:** ...
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