Part A Exactly one turn of a flexible rope with mass m is wrapped around a uniform cylinder with mass M and radius R. The cylinder rotates without friction about a horizontal axle along the cylinder axis. One end of the rope is attached to the cylinder. The cylinder starts with angular speed wo . After one revolution of the cylinder the rope has unwrapped and, at this instant, hangs vertically down, tangent to the cylinder. Mgyem-) Find the angular speed of the cylinder at this time. You can ignore the thickness of the rope. (Hint: Use Equation U = Express your answer in terms of the variables m, M, R, and appropriate constants. ? Img 2+ R 4 Submit Previous Answers Request Answer Part B Find the linear speed of the lower end of the rope at this time. Express your answer in terms of the variables m, M, R, and appropriate constants. Submit Request Answer

Part A Exactly one turn of a flexible rope with mass m is wrapped around a uniform cylinder with mass M and radius R. The cylinder rotates without friction about a horizontal axle along the cylinder axis. One end of the rope is attached to the cylinder. The cylinder starts with angular speed wo . After one revolution of the cylinder the rope has unwrapped and, at this instant, hangs vertically down, tangent to the cylinder. Mgyem-) Find the angular speed of the cylinder at this time. You can ignore the thickness of the rope. (Hint: Use Equation U = Express your answer in terms of the variables m, M, R, and appropriate constants. ? Img 2+ R 4 Submit Previous Answers Request Answer Part B Find the linear speed of the lower end of the rope at this time. Express your answer in terms of the variables m, M, R, and appropriate constants. Submit Request Answer

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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Problem 9.82
Part A
Exactly one turn of a flexible rope with mass m is wrapped around a uniform
cylinder with mass M and radius R. The cylinder rotates without friction about a
horizontal axle along the cylinder axis. One end of the rope is attached to the
cylinder. The cylinder starts with angular speed wo . After one revolution of the
cylinder the rope has unwrapped and, at this instant, hangs vertically down,
tangent to the cylinder.
Find the angular speed of the cylinder at this time. You can ignore the thickness of the rope. (Hint: Use Equation U = Mgyem.)
Express your answer in terms of the variables m, M, R, and appropriate constants.
?
R
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Submit
Previous Answers Request Answer
Part B
Find the linear speed of the lower end of the rope at this time.
Express your answer in terms of the variables m, M, R, and appropriate constants.
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