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  4. A block kept on a rough surface starts sliding when the inclination of the surface is θ with respect to the horizontal. The coefficient of static friction between the block and the surface is

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Q. 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

KCETKCET 2012Laws of Motion

Solution:

As the block starts stipping for angle of inclination $\theta$, it must be equal to angle of repose given by
$\theta=\tan ^{-1} \mu_{s}$
or $\mu_{s}=\tan \,\theta$