A block rests on a rough incline

PHYSICS · Subjective · AP · Physics C: Mechanics · Force and Translational Dynamics · Force and Translational Dynamics

Problem

4\,\text{kg}

block rests on a rough

30^{\circ}

incline. It is attached by a light string over a frictionless pulley at the top of the incline to a

3\,\text{kg}

mass that hangs vertically. The coefficient of kinetic friction between the block and the incline is

\mu_k = 0.15

. Take

g = 10\,\text{m\,s}^{-2}

. Determine: (i) the magnitude and direction of the acceleration of the system, (ii) the tension in the string.