A counterweight of mass m = 4.70 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 = 1.50 kg. The spokes have negligible mass. M (a) What is the net torque on the system about the axle of the pulley? magnitude N.m direction ---Select--- (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 = dL/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) m/s²
A counterweight of mass m = 4.70 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 = 1.50 kg. The spokes have negligible mass. M (a) What is the net torque on the system about the axle of the pulley? magnitude N.m direction ---Select--- (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 = dL/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) m/s²
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Transcribed Image Text:A counterweight of mass m = 4.70 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 = 1.50 kg. The spokes have negligible mass.
M
Ⓡ
(a) What is the net torque on the system about the axle of the pulley?
magnitude
N.m
direction ---Select---
(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 7 = dĹ/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.)
m/s²
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