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

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

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 59P: A cylinder of mass 10.0 kg rolls without slipping on a horizontal surface. At a certain instant, its...

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