A (2 mathrm{~kg}) mass is connected to a spring with a stiffness of (1000 mathrm{~N} / mathrm{m}).

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A \(2 \mathrm{~kg}\) mass is connected to a spring with a stiffness of \(1000 \mathrm{~N} / \mathrm{m}\). When given an initial displacement of \(25 \mathrm{~mm}\), the area under the hysteresis curve of the spring is measured as \(0.06 \mathrm{~N} \cdot \mathrm{m}\). What is the equivalent viscous damping ratio of the motion?

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