In the figure, a solid cylinder attached to a horizontal spring (k = 4.60 N/m) rolls without slipping along a horizontal surface. If the system is released from rest when the spring is stretched by 0.100 m, find (a) the translational kinetic energy and (b) the rotational kinetic energy of the cylinder as it passes through the equilibrium position. (c) If the cylinder has mass M = 9.30 kg, find the period of the simple harmonic motion that the cylinder's center of mass executes. (Hint: Find the time derivative of the total mechanical energy.) 00000
In the figure, a solid cylinder attached to a horizontal spring (k = 4.60 N/m) rolls without slipping along a horizontal surface. If the system is released from rest when the spring is stretched by 0.100 m, find (a) the translational kinetic energy and (b) the rotational kinetic energy of the cylinder as it passes through the equilibrium position. (c) If the cylinder has mass M = 9.30 kg, find the period of the simple harmonic motion that the cylinder's center of mass executes. (Hint: Find the time derivative of the total mechanical energy.) 00000
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter16: Oscillations
Section: Chapter Questions
Problem 28PQ: We do not need the analogy in Equation 16.30 to write expressions for the translational displacement...
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