Question

Define angle of repose. Deduce its relation with coefficient of static friction?​

Answer 1

Answer:

We are asked to define the term 'angle of repose'. We are also asked to deduce its relation with the coefficient of limiting friction. ... The minimum angle which the inclined plane makes with the horizontal plane, when the object resting on it just begins to slide down is called angle of repose.

Answer 2

Answer:

Angle of Repose :-

The minimum angle which the inclined plane makes with the horizontal plane, when the object resting on it just begins to slide down is called angle of repose.

=> Its relation with coefficient of static friction :-

Let any inclined plane inclined with θ angle with horizontal and a body which mass is m just begins to slide down.

then,

mg.sinθ=μN

where μ is the coefficient of friction and N is the normal reaction.

N=mg.cosθ

now,

mg.sinθ=μmg.cosθ

tanθ=μ

θ=tan − 1(μ)

here θ is known as angle of repose.