A small block is gently placed on a rough inclined plane
PHYSICS · Subjective · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics
Problem
A small block is gently placed on a rough inclined plane. The angle of inclination of the plane with the horizontal is slowly increased from 0∘ until the block is on the verge of sliding.
(i) Taking the block to be in limiting equilibrium at angle θr, write the conditions of equilibrium along and perpendicular to the plane.
(ii) Hence derive an expression relating the coefficient of static friction μs and the angle of repose θr.
(iii) Using your expression, calculate the maximum angle of repose if μs=0.30.