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Solution: A string is attached to a light rod with a 1 cm radius on a ...

Question

A string is attached to a light rod with a 1 cm radius on a disk, as shown in the figure below. If the rod spins in one direction, the string will wind around it. If it spins in the opposite direction, the string unwinds. If the string is attached at the opposite end to a 100 N/m spring, initially unstretched, and the rod is twisted for 2 revolutions, what is the maximum angular speed of the disk will have after the rod is let go? The disk has a mass of 10 kg and a radius of 10 cm.