First slide

Friction on inclined plane of angle more than angle of repose

Question

Consider the following statements
A) Angle of repose is equal to angle of friction
B) Angle of friction is independent of coefficient of friction

Moderate

A

A and B are true
B

A and B are false
C

A is false and B is true
D

B is false and A is true

Solution

If the block is the verge of slipping , we can write - mg sin $θ$ = f
But N = mg cos $θ$ and f = $μ_{s}$ .N
.: mg sin $θ$ = $μ_{s}$ .mg cos $θ$
⇒ $θ$ = $\tan^{- 1} (μ_{s})$ = λ

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