The characteristic equation of the system shown in Figure

Chapter , Problem 8.28

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The characteristic equation of the system shown in Figure 8.2.3 for m = 3 and k = 27 is \(3 s^{2}+c s+27=0\). Obtain the free response for the following values of damping: c = 0, 9, 18, and 22. Use the initial conditions x(0) = 1 and \(\dot{x}(0)=0\).

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