In the figure, a solid cylinder M attached to a horizontal spring k (k = 3.00 N/m) rolls without 00000 slipping along a horizontal surface. If the system is released from rest when the spring is stretched by 0.250 m, find (a) the translational kinetic energy and (b) the rotational kinetic energy of the cylinder as it passes through the equilibrium position. (c) Show that under these conditions the cylinder's center of mass executes simple harmonic motion with period 3M T = 2n. 2k where M is the cylinder mass. (Hint: Find the time derivative of the total mechanical energy.) (Halliday, Resnick & Walker, 2011)
In the figure, a solid cylinder M attached to a horizontal spring k (k = 3.00 N/m) rolls without 00000 slipping along a horizontal surface. If the system is released from rest when the spring is stretched by 0.250 m, find (a) the translational kinetic energy and (b) the rotational kinetic energy of the cylinder as it passes through the equilibrium position. (c) Show that under these conditions the cylinder's center of mass executes simple harmonic motion with period 3M T = 2n. 2k where M is the cylinder mass. (Hint: Find the time derivative of the total mechanical energy.) (Halliday, Resnick & Walker, 2011)
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter11: Angular Momentum
Section: Chapter Questions
Problem 54P: A cylinder with rotational inertia I1=2.0kgm2 rotates clockwise about a vertical axis through its...
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