Suppose that an un-damped spring is subjected to an external periodic force so that its differential equation

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Suppose that an un-damped spring is subjected to an external periodic force so that its differential equation has the form

(a) Show that the equation of motion for A B is'
Y = C1 cos Bt + C2 sin Bt + c / B2 - A2 sin At
(b) Solve the differential equation when A = B (the resonance case).
(c) What happens to the amplitude of the motion in part (b) when t †’ (?

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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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Question Posted: Jun 21, 2016 11:23 AM

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Suppose that an un-damped spring is subjected to an external periodic force so that its differential equation

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d2 dt2

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a Roots of the auxiliary equation are Bi y h C 1 ...View the full answer

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