796_Dynamics 11ed Manual

796_Dynamics 11ed Manual - n gd k G 2 d 2 + = 2 n = 2 k G 2...

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Engineering Mechanics - Dynamics Chapter 22 Problem 22-13 The body of arbitrary shape has a mass m , mass center at G , and a radius of gyration about G of k G . If it is displaced a slight amount θ from its equilibrium position and released, determine the natural period of vibration. Solution: Σ M o I o α = m gd sin () mk G 2 md 2 + () '' = '' gd k G 2 d 2 + sin () + 0 = However, for small rotation sin( ) = . Hence '' gd k G 2 d 2 + + 0 = From the above differential equation,
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Unformatted text preview: n gd k G 2 d 2 + = 2 n = 2 k G 2 d 2 + gd = Problem 22-14 Determine to the nearest degree the maximum angular displacement of the bob if it is initially displaced from the vertical and given a tangential velocity v away from the vertical. Given: 0.2 rad = v 0.4 m s = l 0.4 m = 794...
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This note was uploaded on 08/16/2011 for the course EGN 3321 taught by Professor Christianfeldt during the Spring '08 term at University of Central Florida.

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