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in Physics by (67.6k points)

A smooth uniform rod AB of mass M and length l rotates freely with an angular velocity ωo, in a horizontal plane about a stationary vertical axis passing through its end A. A small sleeve of mass m starts sliding along the rod from the point A. Find the velocity v' of the sleeve relative to the rod at the moment it reaches its other end B.

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In the process of motion of the given system, the kinetic energy and the angular momentum relative to rotation axis do not vary. Hence, it follows that

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