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A long horizontal plank of mass m is lyi...

A long horizontal plank of mass `m` is lying on a smooth horizontal surface. A sphere of same mass `m` and radius `r` is spinned about its own axis with angular velocity we and gently placed on the plank. The coefficient of friction between the plank and the sphere is `mu`. After some time the pure rolling of the sphere on the plank will start. Answer the following questions.

Find the velocity of the sphere after the pure rolling starts

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