A SDOF system is excited by a sinusoidal force. At resonance, the displacement amplitude was measured to

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A SDOF system is excited by a sinusoidal force. At resonance, the displacement amplitude was measured to be 3.0 inches. When the same system is excited by a sinusoidal force that is one-tenth of the natural frequency of the system, the displacement amplitude was determined to be 0.5 inches. What is the damping ratio of the system?