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)

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And The Law Of Gravity

Section: Chapter Questions

Problem 3P: The tires on a new compact car have a diameter of 2.0 ft and are warranted for 60 000 miles, (a)...

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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

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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