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Question

Physics Question on System of Particles & Rotational Motion

A solid sphere of radius R is placed on smooth horizontal surface. A horizontal force F is applied at height h from the lowest point. For the maximum acceleration of centre of mass, which is correct?

A

h = R

B

h = 2R

C

h = 0

D

no relation between h and R

Answer

no relation between h and R

Explanation

Solution

Since there is no friction at the contact surface (smooth horizontal surface) there will be no rolling.
Hence, the acceleration of the centre of mass of the sphere will be independent of the position of the applied force F. Therefore, there is no relation between h and R.