Question

2.25 Derive the formula for the angle of friction and angle of repose.​

Answer 1

Answer:

The maximum value of static friction up to which body does not move is called limiting friction.

Angle of repose is defined as the angle of the inclined plane with horizontal such that a body placed on it is just begins to slide.

In limiting condition,

F=mg sinα and R=mg cosα

Where α=angle of repose.

So

R

F

=tanα

∴

R

F

=μ

s

=tanθ=tanα(∵tanθ=μ

s

)

or θ=α