A block of mass m2 = 15 kg on a rough 30°-inclined plane isconnected to a 5-kg mass (m1) by a string of negligible masspassing over a pulley that is shaped like a disk. The 2-kg pulleyhas radius 15 cm and rotates about its symmetry axis of rotation.The string does not slip on the pulley and causes the pulley torotate about a fixed horizontal axle through its center of mass.When this system is released from rest, the block (m2) moves at auniform linear acceleration. The coefficient of kinetic frictionbetween the 15-kg block and the incline surface is 0.10. (a) Findthe linear acceleration of the system. (b) Calculate the tensionT1, in the string supporting m1, and tension T2, in the string thatsupports m2. (c) Use energy methods to find the speed of the blockswhen the 5-kg block has moved through a vertical displacement of 3m from rest. (a) [a = 0.56 m/s2]; (b) [T1 = 52.4 N; T2 = 51.8 N];(c) [v = 1.83 m/s]
