Question

A mass m is placed on an inclined plane. If the mass is in equilibrium, the maximum inclination of the plane with the horizontal would be (where m is the coefficient of friction between the mass and surface) –

• A. tan^–1m
• B. tan^–1 $\left( \frac { \mu } { 2 } \right)$
• C. tan^–1 $\left( \frac { \mu } { m } \right)$
• D. cos^–1m

Answer 1

Answer: (A)

tan^–1m

Answer 2

Repose angle = tan^–1(m)

= maximum inclination of the plane with the horizontal if the mass is in equilibrium.

If the mass is in equilibrium, the maximum inclination of the plane with the horizontal is called angle of repose. Angle of repose = tan^–1 (m)