We wrap a light, nonstretching cable around a solid cylinder

Last updated: 7/10/2022

We wrap a light, nonstretching cable around a solid cylinder with radius R and moment of inertia I. The cylinder rotates with negligible friction about a stationary horizontal axis. We tie the free end of the cable to a block of mass m and release the block from rest at a distance h above the floor. As the block falls, the cable unwinds without stretching or slipping. Find the speed of the falling block as the block strikes the floor. (m= 2 kg. g = 10 m/s^2, h = 2.5 m, R=4 m, 1 = 64 kg.m^2)