Question: The transfer function for one generalized coordinate of a two degree-of-freedom system is [ G(s)=frac{1}{s^{4}+3 s^{2}+2} ] (a) Calculate (G(3 i)). (b) What are the

The transfer function for one generalized coordinate of a two degree-of-freedom system is

\[ G(s)=\frac{1}{s^{4}+3 s^{2}+2} \]

(a) Calculate \(G(3 i)\).

(b) What are the natural frequencies of the system?

(c) If this system were excited by a force equal to \(5 \sin 3 t\), what is the steady-state response of the generalized coordinate?

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