Can there be beats when a damping force is added to the

Chapter 5, Problem 42E

(choose chapter or problem)

Can there be beats when a damping force is added to the model in part (a) of Problem 39? Defend your position with graphs obtained either from the explicit solution of the problem

\(\frac{d^{2} x}{d t^{2}}+2 \frac{d x}{d t}+\omega^{2} x=F_{0} \cos \gamma t, \quad x(0)=0, \quad x^{\prime}(0)=0\)

or from solution curves obtained using a numerical solver.

Text Transcription:

fracd^2xdt^2+2fracdxdt+omega^2x=F_0cos\gammat,x(0)=0,x^prime(0)=0

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