Mumbai University > FE > Sem 1 > Engineering Mechanics

Marks : 08

Years : MAY 2015

Angle of friction $(φ):$ Angle made by the resultant of normal reaction and limiting frictional force with the normal reaction is called angle of friction

Angle of repose (θ): The minimum angle of the plane at which the body kept on it starts to slide due to its own weight is called angle of repose.

To prove: $θ=φ \\ ∑Fy=0 \\ N- W \cosθ = 0 \\ N= W \cos θ \\ ∑Fx=0 \\ -W\sin θ + F= 0 \\ F= W \sin θ\\ µN= W \sinθ \\ µW \cosθ= W \sinθ \\ µ = \tan θ \\ but\space \space µ = \tan φ\\ \tan φ = \tan θ \\ φ=θ $

--proved