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.)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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.)
M
(a) Number
Units
(b) Number
Inits
(c) Number
Units

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