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.