Question

The coefficient of friction g and the angle of friction A are related as

• A. $sin\lambda =\mu$
• B. $cos\lambda =\mu$
• C. $tan\lambda =\mu$
• D. $tan\mu =\lambda$

Answer 1

The correct option is C $tan\lambda =\mu$

The coefficient of friction between any two surface in contact is defined as the ratio of the force of limiting friction and normal reaction between them.

$u-F/R$

Angle with the resultant of force of limiting friction $F$ and normal reaction $R$ makes with the direction of normal reaction $R$ is angle of reaction.

[See image]

Reaction:

In $\Delta AOC\tan \theta =\frac{AC}{OA}=\frac{OB}{OA}=\frac{F}{R}=\mu$

Hence $\mu =\tan \theta$

Here we have used $\lambda$ in place of $\theta$