In the figure, a physical pendulum consists of a uniform solid disk (of radius R = 26.0 cm) supported in a vertical plane by a pivot located a distance d = 15.7 cm from the center of the disk. The disk is displaced by a small angle and released. What is the period of the resulting simple harmonic motion? Pivot•

In the figure, a physical pendulum consists of a uniform solid disk (of radius R = 26.0 cm) supported in a vertical plane by a pivot located a distance d = 15.7 cm from the center of the disk. The disk is displaced by a small angle and released. What is the period of the resulting simple harmonic motion? Pivot•

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Description: In the figure, a physical pendulum consists of a uniform solid disk (of radius R = 26.0 cm) supported in a vertical plane by a pivotlocated a distance d = 15.7 cm from the center of the disk. The disk is displaced by a small angle and released. What

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 76PQ

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We do not need the analogy in Equation 16.30 to write expressions for the translational displacement of a pendulum bob along the circular arc s(t), translational speed v(t), and translational acceleration a(t). Show that they are given by s(t) = smax cos (smpt + ) v(t) = vmax sin (smpt + ) a(t) = amax cos(smpt + ) respectively, where smax = max with being the length of the pendulum, vmax = smax smp, and amax = smax smp2.
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