KCET · Physics · Laws of Motion
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
- A \(\sec \theta\)
- B \(\sin \theta\)
- C \(\tan \theta\)
- D \(\cos \theta\)
Answer & Solution
Correct Answer
(C) \(\tan \theta\)
Step-by-step Solution
Detailed explanation
As the block starts stipping for angle of inclination \(\theta\), it must be equal to angle of repose given by
\(\begin{aligned}\theta &=\tan ^{-1} \mu_{s} \\\text {or } \mu_{s} &=\tan \theta\end{aligned}\)
\(\begin{aligned}\theta &=\tan ^{-1} \mu_{s} \\\text {or } \mu_{s} &=\tan \theta\end{aligned}\)
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