Solve Chapter Problem 13.21, assuming the power spectral density is band limited with \(\omega_{1}=50 \mathrm{rad} / \mathrm{s}\) and \(\omega_{2}=200 \mathrm{rad} / \mathrm{s}\).

Data From Chapter Problem 13.21:
A SDOF system with a mass of \(20 \mathrm{~kg}, \zeta=0.1\), and \(\omega_{n}=100 \mathrm{rad} / \mathrm{s}\) is subject to white noise with \(S_{0}=1 \times 10^{-2} \mathrm{~N}^{2} \cdot \mathrm{s} / \mathrm{rad}\).