A uniform sphere is placed on a smooth horizontal surface and a h… - Vidyadip

MCQ

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 $h = 2R.$
✓
Is independent of $h.$

✓

Answer

Correct option: 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,
$\frac{\text{Applied force}}{\text{Mass of the sphere}},$ which is independent of height $h.$

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