Determine the response of the system of Figure P6.6 due to a force (F(t)=20 sin 20 t

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Determine the response of the system of Figure P6.6 due to a force \(F(t)=20 \sin 20 t \mathrm{~N}\) applied to the block whose displacement is \(x_{2}\) using the method of undetermined coefficients. Use \(m=10 \mathrm{~kg}, k=90,000 \mathrm{~N} / \mathrm{m}\), and \(c=100 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}\).

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