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A block of mass $m$ is placed on a rough surface. The coefficient of static friction between the block and the surface is $ \mu_s$. The angle of inclination is slowly increased.

What is the maximum angle $ \theta_{max} $ at which the block remains at rest on the surface?

A

$ \sin^{-1} {\mu_s} $

B

$ \cos ^{-1}{\mu_s} $

C

$ \tan ^{-1}{\mu_s} $

D

$ \tan^{-1} {\cfrac{1}{\mu_s}} $

E

$ \cot^{-1} {\mu_s} $

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