Suppose two masses M = 6.0 kg and m = 3.0 kg are connected by a massless rope as shown in the figure below. The pulley has radius 30 cm. The system is accelerating at a rate of a = 1.0 m/s2 (M moving to the right and m downward). Assume there is no friction, and g = 10 m/s2. i. Find the tension in the rope on both sides of the pulley? ii. What is the net torque on the pulley? (Note: the two masses torque the pulley in opposite directions) iii. What is the moment of inertia, I, of the pulley? ( Note: use a = Rα)
Suppose two masses M = 6.0 kg and m = 3.0 kg are connected by a massless rope as shown in the figure below. The pulley has radius 30 cm. The system is accelerating at a rate of a = 1.0 m/s2 (M moving to the right and m downward). Assume there is no friction, and g = 10 m/s2. i. Find the tension in the rope on both sides of the pulley? ii. What is the net torque on the pulley? (Note: the two masses torque the pulley in opposite directions) iii. What is the moment of inertia, I, of the pulley? ( Note: use a = Rα)
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter10: Fixed-axis Rotation
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Suppose two masses M = 6.0 kg and m = 3.0 kg are connected by a massless rope as shown in the figure below. The pulley has radius 30 cm. The system is accelerating at a rate of a = 1.0 m/s2 (M moving to the right and m downward). Assume there is no friction, and g = 10 m/s2.
i. Find the tension in the rope on both sides of the pulley?
ii. What is the net torque on the pulley? (Note: the two masses torque the pulley in opposite directions)
iii. What is the moment of inertia, I, of the pulley? ( Note: use a = Rα)
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