Home Physics System of Particles Rotational Motion General A sphere S rolls without slipping, moving wi…
Physics System of Particles Rotational Motion General MCQ (Single Correct)

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 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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The correct answer is:
D

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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