Consider a driven undamped spring/mass system described by the initial-value problem d'x + w*x = F, sin
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Consider a driven undamped spring/mass system described by the initial-value problem
(a) For n = 2, discuss why there is a single frequency γ1/2π at which the system is in pure resonance.
(b) For n = 3, discuss why there are two frequencies γ1/2π and γ2/2π at which the system is in pure resonance.
(c) Suppose ω = 1 and F0 = 1. Use a numerical solver to obtain the graph of the solution of the initial value problem for n = 2 and γ = γ1 in part (a). Obtain the graph of the solution of the initial-value problem for n = 3 corresponding, in turn, to γ = γ1 and γ = γ2 in part (b).
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
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