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A sphere S rolls without slipping with a...

A sphere `S` rolls without slipping 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 rest on the ground. Initially `P` is fixed on 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

Text Solution

Verified by Experts

The correct Answer is:
4

In rolling without slipping, at constant speed, there is no force of friction between the surfaces. Therefore, removing the pin causes no change to the system.
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