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A counterweight of mass m = 3.60 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 = 7.00 cm and mass M = 3.00o kg. The spokes have negligible mass. M (a) What is the net torque on the system about the axle of the pulley? N.m to the right along the axis of rotation v magnitude direction (b) When the counterweight has a speed v, the pulley has an angular speed w = 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 = dL/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) m/s2

A counterweight of mass m = 3.60 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 = 7.00 cm and mass M = 3.00o kg. The spokes have negligible mass. M (a) What is the net torque on the system about the axle of the pulley? N.m to the right along the axis of rotation v magnitude direction (b) When the counterweight has a speed v, the pulley has an angular speed w = 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 = dL/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) m/s2

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A counterweight of mass m = 3.60 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 = 7.00 cm and mass M = 3.00 kg. The spokes have negligible mass. M (a) What is the net torque on the system about the axle of the pulley? magnitude direction N.m to the right along the axis of rotation V (b) When the counterweight has a speed v, the pulley has an angular speed o = 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 7 = dL/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) m/s2
Transcribed Image Text:A counterweight of mass m = 3.60 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 = 7.00 cm and mass M = 3.00 kg. The spokes have negligible mass. M (a) What is the net torque on the system about the axle of the pulley? magnitude direction N.m to the right along the axis of rotation V (b) When the counterweight has a speed v, the pulley has an angular speed o = 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 7 = dL/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) m/s2
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