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.

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