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A solid sphere of radius R is placed on 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, which is correct?

(a) h=R

(b) h=2R

(c) h=0

(d) no relation between h and R

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Enquiry is from Translational and Rotational Motion in portion System of Particles and Rotational Motion of Engineering Physics I

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Right choice is (d) no relation between h and R

The explanation is: The smooth horizontal surface does not provide any friction. The sphere does not roll. Hence the acceleration of centre of mass of the sphere is independent of the position of the applies force. There is no relation between h and R.

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