System of Particles and Rotational Motion - Result Question 8

8. 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,

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(a) $h=R$

(b) $h=2 R$

(c) $h=0$

(d) The acceleration will be same whatever $h$ may be

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Answer:

Correct Answer: 8. (d)

Solution:

  1. (d) As friction is absent at the point of contact,

Acceleration $=\frac{\text{ Force }}{\text{ Mass }}$

It is independent of $h$