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Question

A body of mass M is kept on a rough horizontal surface (friction coefficient μ). A person is trying to pull the body by applying a horizontal force but the body is not moving. The force by the horizontal surface on the surface of the body is F, where

A
F=Mg
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B
F=μMgF
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C
MgfMg1+μ2
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D
MgfMg1+μ2
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Solution

The correct option is A MgfMg1+μ2
If R is normal reaction,
Maximum force by surface when friction work
F=f2+R2=μR2+R2 (f=μR)
=Rμ2+1
Maximum force = R, when there is no friction.
Hence, ranging from R to Rμ2+1
we get Mgfmgμ2+1

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