Question

Relation between coefficient of static friction ${\mu }_s$ and angle of friction is

• A. ${\mu }_s=\sin \theta$
• B. ${\mu }_s=\cos \theta$
• C. ${\mu }_s=\tan \theta$
• D. None of these

Answer 1

The correct option is C ${\mu }_s=\tan \theta$

$tri\left(AOC\right)$

$tan\theta =\frac{AC}{RO}=\frac{F}{R}=\frac{\mu \ast mg}{mg}={\mu }_s$

${\mu }_s=tan\theta$