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Q.
The coefficient of friction between two surfaces is 0.2. The angle of friction is
Laws of Motion
Solution:
Angle of sliding or repose is the angle that an inclined plane makes with the horizontal when a body placed on it just starts sliding down.
$f_{\max }=\mu N$
$N=m g \cos \theta$
$m g \sin \theta=f_{\max }$
$\Rightarrow m g \sin \theta=\mu N=\mu m g \cos \theta$
or $\mu=\tan \theta$
Here, $0.2=\tan \theta$ or $\cot \theta=\frac{1}{0.2}=5$
$\Rightarrow \theta=\cot ^{-1}(5)$
