A block rests on a incline with a kinetic coefficient of friction

PHYSICS · Subjective · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

4.0\,\text{kg}

block rests on a

30^{\circ}

incline with a kinetic coefficient of friction

\mu_k=0.10

. The block is attached by a light string passing over a pulley to a

2.5\,\text{kg}

mass that hangs vertically. The pulley is a solid uniform cylinder of mass

1.0\,\text{kg}

and radius

0.15\,\text{m}

. Neglect the mass of the string. Calculate both the magnitude and the direction of the acceleration of the system.