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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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