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 the vertical upwards. The block will remain in equilibrium, if minimum coefficient of friction between it and the surface is
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a
(P+Qsinθ)(mg-Qcosθ)
b
(Pcosθ+Q)(mg-Qsinθ)
c
(P-Qcosθ)(mg+Qsinθ)
d
(Psinθ-Q)(mg-Qcosθ)
answer is A.
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Detailed Solution
N = mg - QcosθP+Qsinθ=μN=μ(mg-Qcosθ)∴ μ=(P+Qsinθ)(mg-Qcosθ)
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 the vertical upwards. The block will remain in equilibrium, if minimum coefficient of friction between it and the surface is