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Question

# A mass m rests on a horizontal surface. The coefficient of friction between the mass and the surface is μ. If the mass is pulled by a force F as shown in figure, the limiting friction between the mass and the surface will be

A
μmg
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B
μ[mg(32F)]
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C
μ[mg(F2)]
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D
μ[mg+(F2)]
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Solution

## The correct option is B μ[mg−(√32F)]By free body diagram, Resolving the forces in horizontal and vertical direction, the limiting friction will be equal to the horizontal force for equilibrium. f=F2=μN Also, N=mg−√32F ⇒f=μ(mg−√32F) Hence option B is the correct answer

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