A single-degree-of-freedom system has a mass of 10 kg, a stiffness of 100 N/m, and a damping ratio of 0.5. Calculate the natural frequency and vibration amplitude of the system.
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ω n = m k = 10 100 = 3.16 rad/s X = ( 1 − β 2 ) 2 + ( 2 ζβ ) 2 F 0 / k = ( 1 − 1 2 ) 2 + ( 2 ⋅ 0.5 ⋅ 1 ) 2 ⁄ 100 = 0.1 m A single-degree-of-freedom system has a mass of 10