100 In Fig. 15-59, a solid cylinder attached to a horizontal spring (k = 3.00 N/m) rolls without slipping along a horizontal surface. If the sys- tem is released from rest when the м oo000d 00000 Figure 15-59 Problem 100. spring is stretched by 0.250 m, find (a) the translational kinetic energy and (b) the rotational kinetic energy of the cylinder as it passes through the equilibrium position. (c) Show that under these condi- tions the cylinder's center of mass executes simple harmonic mo- tion with period ЗМ T = 27 2k where M is the cylinder mass. (Hint: Find the time derivative of the total mechanical energy.)

100 In Fig. 15-59, a solid cylinder attached to a horizontal spring (k = 3.00 N/m) rolls without slipping along a horizontal surface. If the sys- tem is released from rest when the м oo000d 00000 Figure 15-59 Problem 100. spring is stretched by 0.250 m, find (a) the translational kinetic energy and (b) the rotational kinetic energy of the cylinder as it passes through the equilibrium position. (c) Show that under these condi- tions the cylinder's center of mass executes simple harmonic mo- tion with period ЗМ T = 27 2k where M is the cylinder mass. (Hint: Find the time derivative of the total mechanical energy.)

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Circular Motion And Other Applications Of Newton’s Laws

Section: Chapter Questions

Problem 6.8P: Consider a conical pendulum (Fig. P6.8) with a bob of mass m = 80.0 kg on a string of length L =...

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