A springmass system with a hardening spring ( of Section 3.7) is acted on by a periodic
Chapter 3, Problem 24(choose chapter or problem)
A springmass system with a hardening spring ( of Section 3.7) is acted on by a periodic external force. In the absence of damping, suppose that the displacement of the mass satisfies the initial value problem u + u + 1 5u3 = cos t, u(0) = 0, u (0) = 0. (a) Let = 1 and plot a computer-generated solution of the given problem. Does the system exhibit a beat? (b) Plot the solution for several values of between 1/2 and 2. Describe how the solution changes as increases.
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