building blocks of rotational motion

Classical Mechanics Level 2

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 tests on the ground. Initially, P is fixed to the ground by a pin N. If N is suddenly removed,

there will be no change in the motion of S and P will still be at rest. the speed of S will decrease and its angular velocity will increase. S will begin to slip on P. P will begin to move backwards.

Kushal Patankar by Kushal Patankar , 22, India

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3 solutions

Kanchan Patil
Jan 2, 2018

In the absence of other forces, friction will not act when the body is having a pure rolling motion. (D) there will be no change in the motion of S and P will still be at rest is the right answer

2 Helpful 1 Interesting 0 Brilliant 0 Confused
Kushal Patankar
Dec 28, 2014

Pure rolling or rolling without slipping does not require friction on horizontal surface. So, no disturbance in P and in S.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Joe Allan Jesus
Oct 18, 2018

There is no external force acting on the sphere. V is equal to wr which means that it is a pure rolling. Therefore friction will not act on any of the bodies.

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