Question

A particle of mass 1 kg rests on rough contact with a plane inclined at ${30}^{\circ }$ to the horizontal and is just about to slip. Find the coefficient of friction between the plane and the particle.

Answer 1

The minimum angle made by an inclined plane with the horizontal such that a body placed on the inclined surface just begins to slide. This angle is called angle of repose.

Here the angle of repose is ${30}^o$ and the relation between coefficient of friction , $\mu$ and the angle of repose is given by $\mu =\tan \theta =\tan 30=\frac{1}{\sqrt{3}}=0.58$