A block of mass rests on a rough inclined plane

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A block of mass

2.0\,\text{kg}

rests on a rough inclined plane. The coefficient of static friction between the block and the plane is

\mu_s=0.45

and the coefficient of kinetic friction is

\mu_k=0.30

. (a) Calculate the angle at which the block will just start sliding down the plane. (b) The plane is now fixed at an angle of

35^{\circ}

to the horizontal. Determine the magnitude of the acceleration of the block as it slides down the plane.