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A smooth uniform rod AB of mass M and le...

A smooth uniform rod AB of mass M and length l rotates freely with an angular velocity `omega_0` 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 and B.

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The correct Answer is:
`"["(omega_(0)l)/(sqrt(1+(3m)/(M)))"]"`
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