Question

A uniform sphere is placed on a smooth horizontal surface and a horizontal force F is applied on 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

(d) is independent of h.


As the uniform sphere is placed on a smooth surface, the sphere only slips.
The acceleration of the centre of the sphere is given by,
$\frac{\mathrm{Applied}\mathrm{force}}{\mathrm{Mass}\mathrm{of}\mathrm{the}\mathrm{sphere}}$ ,which is independent of height h.