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.) M k 0000

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter12: Oscillatory Motion
Section: Chapter Questions
Problem 17P: A block of unknown mass is attached to a spring with a spring constant of 6.50 N/m and undergoes...
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PART A - B

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.)
M
k
Transcribed Image Text: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.) M k
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