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A block of mass m, lying on a rough horizontal plane is acted upon by a horizontal force P and another force Q, inclined at an angle θ to vertical. The block will remain in equilibrium, if coefficient of friction between it and surface is

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a
(P+Qsinθ)(mg+Qcosθ)
b
(Pcosθ+Q)(mg-Qcosθ)
c
(P+Qcosθ)(mg+Qcosθ)
d
(Psinθ-Q)(mg-Qcosθ)

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detailed solution

Correct option is A

f = P + Qsinθ,  where f is the frictional force

μN = P + Qsinθ

μ(mg+Qcosθ) = P + Qsinθ

∴ μ = (P+Qsinθ​)/(mg+Qcosθ)

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