Show that, for a block on a rough horizontal surface, the magnitude of the pulling…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

Show that, for a block on a rough horizontal surface, the magnitude of the pulling force required to just start motion is minimum when the angle

\theta

made with the horizontal satisfies

\tan\theta = \mu_s

, where

\mu_s

is the coefficient of static friction.