Consider a driven undamped spring/mass system described by the initial-value problem

Chapter 5, Problem 44

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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 g12p at which the system is in pure resonance. (b) For n 3, discuss why there are two frequencies g12p and g2 2p at which the system is in pure resonance. (c) Suppose v 1 and F0 1. Use a numerical solver to obtain the graph of the solution of the initial-value problem for n 2 and g g1 in part (a). Obtain the graph of the solution of the initial-value problem for n 3 corresponding, in turn, to g g1 and g g2 in part (b). d2 x

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