A counterweight of mass m = 4.20 kg is attached to a light cord that is wound around a pulley as shown in the figure below. The pulley is a thin hoop of radius R = 9.00 cm and mass M = 2.90 kg. The spokes have negligible mass.
(a) What is the net torque on the system about the axle of the pulley?
magnitude N · m
direction
(b) When the counterweight has a speed v, the pulley has an angular speed ? = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley.
( kg · m)v
(c) Using your result from (b) and = d/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.)
m/s2