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

Options

A. `h=R`
B. `h=2R`
C. `h=0`
D. No relation between h and R

Answer

D

Explanation

Let m is the mass of sphere. Sphere will not roll on smooth horizontal surface as there is no friction at the contact surface.

Acceleration of centre of mass
`a_(cm)=(F)/(m)`
As F is fixed and acceleration of centre of mass is independent of height h of applied force, hence no relation between R and h.