1988M3. The two uniform disks shown above have equal mass, and each can rotate on frictionless bearings about a fixed axis through its center. The smaller disk has a radius R and moment of inertia I about its axis. The larger disk has a radius 2 R
a. Determine the moment of inertia of the larger disk about its axis in terms of I.
The two disks are then linked as shown below by a light chain that cannot slip. They are at rest when, at time t= 0 , a student applies a torque to the smaller disk, and it rotates counterclockwise with constant angular acceleration α. Assume that the mass of the chain and the tension in the lower part of the chain, are negligible. In terms of I,R,α, and t , determine each of the following:
b. The angular acceleration of the larger disk
c. The tension in the upper part of the chain
d. The torque that the student applied to the smaller diske. The rotational kinetic energy of the smaller disk as a function of time