Show that the time rate of change of mechanical energy for a damped, undriven oscillator is given

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Show that the time rate of change of mechanical energy for a damped, undriven oscillator is given by dE/dt = ─bv2 and hence is always negative. Proceed as follows: Differentiate the expression for the mechanical energy of an oscillator, E = ½ mv2 = ½ kx 2, and use Equation 15.31.
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Introduction to Operations Research

ISBN: 978-1259162985

10th edition

Authors: Frederick S. Hillier, Gerald J. Lieberman

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