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A sphere S rolls without slipping, movin...

A sphere S rolls 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 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 begain 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

Text Solution

Verified by Experts

The correct Answer is:
D

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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