A body of mass M is kept on a rough horizontal surface (friction coefficient = μ). A person is trying to pull the body by applying a horizontal force but the body is not moving. The force by the surface on A is F, where
Mass of the body= m
Weight of the body= normal force on the body= mg
Friction coefficient = μ
If the person is pulling the body by force P, then
Force by the surface on the body is given by
For maximum F,
So,
(i)
Now, F= mg sec θ
As we know, sec θ ≥ 1
This implies, F ≥ mg
Or mg F (ii)
Combining (i) and (ii) we get,
mgF