A spring-mass system with a hardening spring ( of Section 3.7) is acted on by a periodic
Chapter 3, Problem 19(choose chapter or problem)
A spring-mass 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 5 u3 = 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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