Problem 1.64

The inclined plane of Fig. 1.11 forms an angle $\alpha=30^{\circ}$ with the horizontal. The mass ratio $m_{2} / m_{1}=\eta=2 / 3 .$ The coefficient of friction between the body $m_{1}$ and the inclined plane is equal to $k$ $=0.10 .$ The masses of the pulley and the threads are negligible. Find the magnitude and the direction of acceleration of the body $m_{2}$ when the formerly stationary system of masses starts moving.