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. Part A 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, wo, and the acceleration due to gravity g. Vol ΜΕ ΑΣΦ ? a xa Хь √x vx 4mgл 2 W = + @ (2m+M)R 1* < x x [X] X.10n Submit Previous Answers 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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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.
Part A
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, wo, and the acceleration due to gravity g.
Vol
ΜΕ ΑΣΦ
?
a
xa Хь
√x vx
4mgл
2
W =
+ @
(2m+M)R
1*
<
x x [X] X.10n
Submit
Previous Answers Request Answer
☑
Transcribed Image Text: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. Part A 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, wo, and the acceleration due to gravity g. Vol ΜΕ ΑΣΦ ? a xa Хь √x vx 4mgл 2 W = + @ (2m+M)R 1* < x x [X] X.10n Submit Previous Answers Request Answer ☑
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