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A vehicle suspension system consists of a spring and a damper. The stiffness of the spring is 3.6 kN/m and the damping constant of the damper is 400 Ns/m. If the mass is 50 kg, then the damping factor (d ) and damped natural frequency (fn), respectively, are

A vehicle suspension system consists of a spring and a damper. The stiffness of the spring is 3.6 kN/m and the damping constant of the damper is 400 Ns/m. If the mass is 50 kg, then the damping factor (d ) and damped natural frequency (fn), respectively, are Correct Answer 0.471 and 1.19 Hz

Given k = 3.6 kN/m, c = 400 Ns/m, m = 50 kg We know that, Natural Frequency ωn = √k/m = 8.485 rad/ sec And damping factor is given by, d = c/cc = c/2√km = 0.471 Damping Natural frequency, ωd = √1 – d2 ωn 2пfd = √1 – d2 ωn fd = 1.19 Hz.

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