In the figure, a solid cylinder attached to a horizontal spring (k = 4.70 N/m) rolls without slipping along a horizontal surface. If the system is released from rest when the spring is stretched by 0.170 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.)

In the figure, a solid cylinder attached to a horizontal spring (k = 4.70 N/m) rolls without slipping along a horizontal surface. If the system is released from rest when the spring is stretched by 0.170 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.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 78P: Review. A string is wound around a uniform disk of radius R and mass M. The disk is released from...

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