1) A solid cylinder with radius r and mass m has a massless cord wrapped around it and is allowed to drop. (i) Draw a free-body diagram with all forces and lever arms. (iii) What is the tension T in the cord in terms of mg? T (ii) What is the acceleration a of the cylinder in terms of g? T = (iv) If the cylinder bounces elastically at the end of the cord and rolls back up the string, what is the tension T in the string as it rises? a = T =

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.42P
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1) A solid cylinder with radius r and mass m has a massless cord wrapped around it and is allowed
to drop.
(i) Draw a free-body diagram with all forces and lever arms.
(iii) What is the tension T in the cord in terms of mg?
T
(ii) What is the acceleration a of the cylinder in terms of g?
T =
(iv) If the cylinder bounces elastically at the end of the cord and rolls back up the string, what is
the tension T in the string as it rises?
a =
T
=
Transcribed Image Text:1) A solid cylinder with radius r and mass m has a massless cord wrapped around it and is allowed to drop. (i) Draw a free-body diagram with all forces and lever arms. (iii) What is the tension T in the cord in terms of mg? T (ii) What is the acceleration a of the cylinder in terms of g? T = (iv) If the cylinder bounces elastically at the end of the cord and rolls back up the string, what is the tension T in the string as it rises? a = T =
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