Consider the system depicted in Fig. Use the complex exponential method to determine the harmonic, steady state response. The input displacement $y (t)$ is given by $y = Y_{0} e^{iwt}$ . Assume that $x = X_{0} e^{iwt}$ . Find expressions for $∣ X_{0} / Y_{0} ∣$ and the phase lag as function of frequency (you can define the phase lag in terms of two other angles that are each explicitly defined in terms of w).

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Consider the system depicted in Fig. Use the complex exponential method to determine the harmonic, steady state response. The input displacement

y (t)

is given by

y = Y_{0} e^{iwt}

. Assume that

x = X_{0} e^{iwt}

. Find expressions for

∣ X_{0} / Y_{0} ∣

and the phase lag as function of frequency (you can define the phase lag in terms of two other angles that are each explicitly defined in terms of w).

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