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A block kept on a rough surface starts sliding when the inclination of the surface is $\theta$ with respect to the horizontal. The coefficient of static friction between the block and the surface is
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Verified Answer
The correct answer is:
$\tan \theta$
As the block starts stipping for angle of inclination $\theta$, it must be equal to angle of repose given by
$$
\begin{aligned}
\theta &=\tan ^{-1} \mu_{s} \\
\text { or } \quad \mu_{s} &=\tan \theta
\end{aligned}
$$
$$
\begin{aligned}
\theta &=\tan ^{-1} \mu_{s} \\
\text { or } \quad \mu_{s} &=\tan \theta
\end{aligned}
$$
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