Rotational Motion Question 47

Question: 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:

[AIPMT 2002]

Options:

A) $ h=R $

B) $ h=2R $

C) $ h=0 $

D) the acceleration will be same whatever h may be

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Answer:

Correct Answer: D

Solution:

  • The linear acceleration of centre of mass will be $ a=\frac{F}{m} $ wherever the force is applied.

Hence, the acceleration will be same whatever the value of h maybe.



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