Question

A particle of mass m rests on a horizontal floor with which it has a coefficient of static friction $\mu$. If is desired to make the body move by applying the minimum possible force F. Find the magnitude of F and the direction in which it has to be applied.

Answer 1

Limiting friction,

$F_2=\mu N=\mu \left(mg\right)$

if F is required to make body move;

then, $F=F_2=\mu \left(mg\right)$

The direction of F is along horizontal direction.