Two blocks A and B with masses 12 kg and 18 kg are connected over a pulley, and are placed on two inclines with the angles of 30 degrees and 45 degrees, respectively. The coefficient of kinetic friction between block A and the incline is 0.3 and between block B and the incline is 0.15.
(a) Draw a free-body diagram for each block.
(b) Find the magnitude and direction of the acceleration of the lighter block.
(c) What would be the mass of block B if block A slid up the incline at constant speed?