A body is in equilibrium on a rough inclined plane undr its own weight. If the angle of inclination of the inclined plane is `alpha` and the angle of friction is `lambda`, then

Options

A. `alpha gt lambda`
B. `alpha gt (lambda)/(2)`
C. `alpha = lambda`
D. `alpha ge lambda`

Answer

C

Explanation

For equilibrium,

`mg sin alpha=mu mg cosalpha`
`implies " "tanalpha=mu=tanlambdaimplies alpha=lambda`