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If ${\mu _S}$, ${\mu _K}$ and ${\mu _R}$ are the coefficients of limiting, kinetic and rolling frictions between two given surfaces. Arrange them in ascending order:A) ${\mu _R} < {\mu _S} < {\mu _K}$B) ${\mu _R} < {\mu _K} < {\mu _S}$C) ${\mu _S} < {\mu _K} < {\mu _R}$D) ${\mu _K} < {\mu _R} < {\mu _S}$

Last updated date: 20th Jun 2024
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Hint: In the given question, first of all, we need to know about the definitions of limiting, rolling and kinetic frictions. Then we need to find out the relation between these frictions and finally conclude with the solution.

${\mu _S} < {\mu _K} < {\mu _R}$.
Hence, option (C) i.e. ${\mu _S} < {\mu _K} < {\mu _R}$ is the correct option.
Note: Friction is the force that opposes motion between any surfaces that are in contact. For example, when we try to push a book along the floor, friction makes this difficult. Friction always works in the direction opposite to the direction in which the object is moving, or trying to move. Basically, there are four types of friction, static, sliding, rolling and fluid friction. Static, sliding and rolling occurs between solid surfaces. Static friction is strongest, then sliding friction and then rolling friction which is the weakest one. Fluid friction occurs in fluid. So, if we compare we can write it as${\mu _S} < {\mu _K} < {\mu _R}$.