A horizontal force `F` acts on the sphere at its centre as shown. Coefficient of friction between ground and sphere is `mu`. What is maximum value of `F` for which there is no slipping?
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`F-f=Ma` ..(i) `tau=Ialpha=I((alpha)/(R))` `impliesf.R=(2)/(5)MR^(2)(a)/(R)` `impliesf=(2)/(5)Ma` Solving Eqs. (i) and (ii) we get `f=(2)/(7)F` `(2)/(7)Flemumg` `impliesFle(7)/(2)mumg`
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