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Question

A sphere S tolls without slipping moving with a constant speed on a plank P. The friction between the upper surface of P and the sphere is sufficient to prevent to slipping, while the lower surface of P is smooth and rests on the ground. Initially, P is fixed to the ground by a pin N. If N is suddenly removed (A)S will begin to slip on P.(B)P will begin to move backwards.(C)The speed of S will decrease and its angular velocity will increase (D)There will be no change in the motion of S and P will still be at rest

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Solution

In rolling without slipping, at constant speed, there is no force of friction between the surface. Therefore, removing the pin causes no change to the system.Hence (D) is correct.

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