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# Answer to Question #102373 in Mechanics | Relativity for Promise Omiponle

Question #102373
A physical pendulum consists of a uniform solid disk of radius R supported in a vertical plane by a pivot located a distance d from the center of the disk. The disk is displaced a small angle and released.
a) Starting with T=2pi(I/mgd)^(1/2) , derive an expression for the period of the resulting simple harmonic motion in terms of the quantities given in the problem and, perhaps, constants (e.g., π, ⅓, g, ...).
b) Find an expression for the distance d that results in the shortest period and use that to write a formula for this shortest periodT. Write this result in terms of the quantities given in the problem and, perhaps, constants (e.g., π, ⅓, g, ...).
c) Calculate a numerical value for the shortest period if R = 2.35 cm.
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2020-02-11T10:09:30-0500

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