A one-degree-of-freedom structure has a mass of (65 mathrm{~kg}) and a stiffness of (238 mathrm{~N} / mathrm{m}).

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A one-degree-of-freedom structure has a mass of \(65 \mathrm{~kg}\) and a stiffness of \(238 \mathrm{~N} / \mathrm{m}\). After 10 cycles of motion the amplitude of free vibrations is decreased by 75 percent. Calculate the hysteretic damping coefficient and the total energy lost during the first 10 cycles if the initial amplitude is \(20 \mathrm{~mm}\).

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