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

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