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:
- (d) As friction is absent at the point of contact,
Acceleration $=\frac{\text{ Force }}{\text{ Mass }}$
It is independent of $h$
