A spring-mass-damper system, having an undamped natural frequency of (100 mathrm{~Hz}) and a damping constant of (20
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A spring-mass-damper system, having an undamped natural frequency of \(100 \mathrm{~Hz}\) and a damping constant of \(20 \mathrm{~N}-\mathrm{s} / \mathrm{m}\), is used as an accelerometer to measure the vibration of a machine operating at a speed of \(3000 \mathrm{rpm}\). If the actual acceleration is \(10 \mathrm{~m} / \mathrm{s}^{2}\) and the recorded acceleration is \(9 \mathrm{~m} / \mathrm{s}^{2}\), find the mass and the spring constant of the accelerometer.
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