Question

A uniform sphere is placed on a smooth horizontal surface and a horizontal force $F$ is applied to it at a distance $h$ above the surface. The acceleration of the centre

• A. is maximum when $h=0$
• B. is maximum when $h=R$
• C. is maximum when $h=2R$
• D. is independent of $h$

Answer 1

The correct option is D is independent of $h$

The acceleration of the center of mass is given by
$a=\frac{dv}{dt}=\frac{d}{dt}\left\{\frac{dx}{dt}\right\}=\frac{d^{2}x}{d{t}^2}$
So from the formula we can find that the acceleration of the centre of mass of the sphere Is independent of $h$.