A yo-yo is constructed of three disks: two outer disks of mass M, radius R, and thickness d, and an inner disk (around which the string is wrapped) of mass m, radius r, and thickness d. The yo-yo is...

A yo-yo is constructed of three disks: two outer disks of mass M, radius R, and thickness d, and an inner disk (around which the string is wrapped) of mass m, radius r, and thickness d. The yo-yo is suspended from the ceiling and then released with the string vertical (Figure 11.110).

Calculate the tension in the string as the yo-yo falls. Note that when the center of the yo-yo moves down a distance y, the

yo-yo turns through an angle y/r, which in turn means that the angular speed ω is equal to vCM/r. The moment of inertia of

a uniform disk is .