Solve Chapter Problem 13.22, assuming the acceleration is band limited with \(\omega_{1}=10 \mathrm{rad} / \mathrm{s}\) and \(\omega_{2}=30 \mathrm{rad} / \mathrm{s}\).

Data From Chapter Problem 13.22:

The SDOF system of Figure P13.22 is subject to a white noise with \(S_{0}=1 \times 10^{-2} \mathrm{~m}^{2} / \mathrm{rad} \cdot \mathrm{s}\) (the power spectral density of the acceleration of the base). Calculate the mean square value of the acceleration of the \(20 \mathrm{~kg}\) block.

20 kg 1 104 N/m 1000 N-s/m FIGURE P13.22 y(x)