A horizontal force F acts on a sphere of mass M at its centre. Coefficient of friction between the ground and sphere is μ. Let the maximum force F for which there is no slipping be n2μMg. Find n.
The correct option is A7 For linear motion, F−f=Ma.......(1) and for rotational motion τ=Iα, for pure rolling a=Rα fr=Iα fr=25MR2×aR f=25Ma Ma=52f......(2) Putting equation (2) in equation (1) f=27F For no slipping, f≤μMg 2F7≤μMg F≤72μMg Thus, n=7.