Two blocks on two ramps are connected by a string passing over two massive, frictionless pulleys. The block on the left has a mass of 190 g and moves up a ramp that is inclined at an angle of 29∘ from the horizontal; the block on the right has a mass of 370 g and moves down a ramp that is inclined at an angle of 51∘ from the horizontal. Both of the blocks experience kinetic friction, with the same coefficient of 0.31. The pulley on the left is a 95 g, 2 cm radius thin ring; the pulley on the right is a 110 g, 4 cm radius thin solid disk.
a) Determine the magnitude of the acceleration of the system, in m/s2.
b) Determine the angular acceleration of the ring-shaped pulley, in rev/s2.