A wooden block is placed on a rough fixed plane whose inclination to the horizontal…
PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics
Problem
A wooden block is placed on a rough fixed plane whose inclination to the horizontal can be gradually increased. The coefficient of static friction between the block and the plane is μs.
(i) Write the equilibrium equations of the block at the instant just before it begins to slide downward.
(ii) Derive an expression for the critical angle θc at which sliding begins and prove that tanθc=μs.
(iii) Calculate θc (to the nearest whole degree) when μs=0.30.