A solid sphere of radius R rests on a smooth horizontal surface. A horizontal force F is applied at height h above its lowest point. For maximum translational acceleration of the centre of mass, which relation is required?
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Question

A solid sphere of radius R rests on a smooth horizontal surface. A horizontal force F is applied at height h above its lowest point. For maximum translational acceleration of the centre of mass, which relation is required?

Options

G1 Physics · Accepted Answer

Step 1: On a frictionless surface, the only horizontal force on the sphere is F regardless of its application height. Step 2: Newton’s second law gives a(COM)=F/M independent of h. Step 3: Thus there is no special relation. Final answer: D — no relation between h and R.