The area under the hysteresis curve for a particular helical coil spring is (0.2 mathrm{~N} cdot mathrm{m})

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The area under the hysteresis curve for a particular helical coil spring is \(0.2 \mathrm{~N} \cdot \mathrm{m}\) when subject to a \(350 \mathrm{~N}\) load. The spring has a stiffness of \(4 \times 10^{5} \mathrm{~N} / \mathrm{m}\). If a \(44 \mathrm{~kg}\) block is hung from the spring and subject to an excitation force of \(350 \sin 35 t \mathrm{~N}\), what is the amplitude of the resulting steady-state oscillations?

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