JEE Main Physics question

PhysicsLaws of MotionJEE Main

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, both on the same side, tending to push the block along the surface. The block will remain in equilibrium if the coefficient of friction between it and the surface is

Answer: (A)

Solution

Vertical: N = mg + Qcosθ. Horizontal: the net driving force is P + Qsinθ. At the verge of sliding, μ = (P+Qsinθ)/(mg+Qcosθ).

Question ID VK-153025