A particle of mass rests on a horizontal floor with which it has a coefficient of…

PHYSICS · Subjective · ISC · Physics · Laws of Motion · Laws of Motion

Problem

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

. If the magnitude of

F = \frac{P\mu mg}{\sqrt{1+\mu^2}}

and the direction in which it has to be applied at an angle of

\tan^{-1} (Q\mu)

with the horizontal. Find

P + Q