Halliday, Resnick & Walker — Force and Motion–II: Problem 79_SSM

Block A in Fig. 6.45 has mass \(m_A = 4.0\text{ kg}\), and block B has mass \(m_B = 2.0\text{ kg}\). The coefficient of kinetic friction between block B and the horizontal plane is \(\mu_k = 0.50\). The inclined plane is frictionless and at angle \(\theta = 30^\circ\). The pulley serves only to change the direction of the cord connecting the blocks. The cord has negligible mass. Find (a) the tension in the cord and (b) the magnitude of the acceleration of the blocks.