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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 surface on A is F, where


A

F = Mg

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B

F = Mg

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C

Mg F Mg

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D

Mg F Mg

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Solution

The correct option is C

Mg F Mg


If F1 = 0

So contact force will only have Normal which is equal to Mg

So F will be Mg

Now as F1 increases fr keeps increasing till it reaches limiting value i.e., μN = μ mg

So in that case contact force F will be

N2+fr2 = (Mg)2+(μMg)2

F = Mg 1+μ2

This means contact force F will lie between Mg F Mg 1+μ2


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