A counterweight of mass m = 4.00 kg is attached to a light cord that is wound around a pulley as in the figure. The pulley is a thin hoop of radius R = 8.00 cm and mass M = 2.00 kg. The spokes have negligible mass. (a) What is the magnitude of the net torque on the system about the axle of the pulley? (b) When the counterweight has a speed v, the pulley has an angular speed ω = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley. (c) Using your result from part (b) and (see image for formula), calculate the acceleration of the counterweight.

A counterweight of mass m = 4.00 kg is attached to a light cord that is wound around a pulley as in the figure. The pulley is a thin hoop of radius R = 8.00 cm and mass M = 2.00 kg. The spokes have negligible mass. (a) What is the magnitude of the net torque on the system about the axle of the pulley? (b) When the counterweight has a speed v, the pulley has an angular speed ω = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley. (c) Using your result from part (b) and (see image for formula), calculate the acceleration of the counterweight.