Question

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

(A) μmg 

(B) μ[mg + (P/2)] 

(C) μ[mg – (P/2)] 

(D) μ[mg – (√3P / 2)]

Answer 1

Correct option: (C) μ[mg – (P/2)]

Explanation:

Limiting frictional force = F = μN

P sin θ + N = mg

P sin 30 + N = mg

mg – (P / 2) = N

hence

F = μ[mg – (P / 2)]