Two radii pulley lifting a pack You are pulling on a rope attached to the outer radius of a pulley with a moment of inertia I = 2.61 kg -m2 as shown. The magnitude of the tension force of you on the pulley is 304.2 N. A pack of mass 28.7 kg is attached to the pulley's inner radius as shown. If the inner radius of the pulley is 0.39 m and the outer radius is 0.66 m, what is the magnitude of the linear acceleration of the pack?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.4P
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You are pulling on a rope attached to the outer radius of a pulley with a moment of inertia I=2.61 kg⋅m2 as shown. The magnitude of the tension force of you on the pulley is 304.2 N. A pack of mass 28.7 kg is attached to the pulley's inner radius as shown. If the inner radius of the pulley is 0.39 m and the outer radius is 0.66 m, what is the magnitude of the linear acceleration of the pack? I am not sure how to do this. 

Two radii pulley
lifting a pack
You are pulling on a rope attached to the outer radius of a pulley with a moment of inertia I = 2.61 kg -m2 as shown. The magnitude of the tension force of you on the pulley is 304.2 N. A pack of mass 28.7 kg is
attached to the pulley's inner radius as shown. If the inner radius of the pulley is 0.39 m and the outer radius is 0.66 m, what is the magnitude of the linear acceleration of the pack?
Transcribed Image Text:Two radii pulley lifting a pack You are pulling on a rope attached to the outer radius of a pulley with a moment of inertia I = 2.61 kg -m2 as shown. The magnitude of the tension force of you on the pulley is 304.2 N. A pack of mass 28.7 kg is attached to the pulley's inner radius as shown. If the inner radius of the pulley is 0.39 m and the outer radius is 0.66 m, what is the magnitude of the linear acceleration of the pack?
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