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A horizontal force F acts on the sphere ...

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`
`f.R=(2)/(5)MR^(2)(a)/(R)`
`rArrf=(2)/(5)MarArr f=(2)/(7)F`
`(2)/(7) F le mu mg rArrF le(7)/(2)mu mg`.
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