I Review | Constants 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 Part A 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 = Mgycm ·) Express your answer in terms of the variables m, M, R, and appropriate constants. Submit Request Answer I Review | Constants 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. | V ΑΣφ Submit 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. ΑΣφ Submit Request Answer

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter8: Rotational Motion
Section: Chapter Questions
Problem 103A
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I Review | Constants
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
Part A
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 = Mgycm ·)
Express your answer in terms of the variables m, M, R, and appropriate constants.
Submit
Request Answer
Transcribed Image Text:I Review | Constants 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 Part A 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 = Mgycm ·) Express your answer in terms of the variables m, M, R, and appropriate constants. Submit Request Answer
I Review | Constants
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.
| V ΑΣφ
Submit
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.
ΑΣφ
Submit
Request Answer
Transcribed Image Text:I Review | Constants 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. | V ΑΣφ Submit 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. ΑΣφ Submit Request Answer
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