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A solid sphere of mass m is lying at res...

A solid sphere of mass `m` is lying at rest on a rough horizontal surface. The coefficient of friction between the ground and sphere is `mu`. The maximum value of `F`, so that the sphere will not slip, is equal to

A

`7/5 mu mg`

B

`4/7 mu mg`

C

`5/7 mu mg`

D

`7/2 mu mg`

Text Solution

Verified by Experts

The correct Answer is:
D
For `F_(max)`, spheres is just about to slip `rArr` Friction acting `=mu_(S)N`
`F-mu_(S) (mg) = ma_(cm) (a_(cm) = R alpha)`
`mu_(2)mg xx R = (2/5 mR^(2)) xx alpha`, `mu_(S) mg = 2/5 ma_(cm) rArr F("max") = 7/2 mu_(S) mg`
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