Find the total response of a viscously damped single-degree-of-freedom system subjected to a harmonic base excitation for
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Find the total response of a viscously damped single-degree-of-freedom system subjected to a harmonic base excitation for the following data: \(m=10 \mathrm{~kg}, c=20 \mathrm{~N}-\mathrm{s} / \mathrm{m}, k=4000 \mathrm{~N} / \mathrm{m}\), \(y(t)=0.05 \cos 5 t \mathrm{~m}, x_{0}=0.1 \mathrm{~m}, \dot{x}_{0}=1 \mathrm{~m} / \mathrm{s}\).
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