A uniform disc of mass m and radius R is rigidly mounted coaxially with a lightweight disc of radius r = R/2, to a horizontal shaft, on which the combination is free to rotate frictionlessly. Light strings are wound in opposite directions about the cylinders, and identical masses m are hung from the ends, as shown.
a) Which way will the system move?
b) What is the acceleration of each of the hanging masses?
c) What is the tension in each of the strings?