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Find the damping ratio given the seat suspension damping rate is 500 N/ms, the mass of the tractor seat + operator is 80 kg and the natural frequency is 20 rad/s.

Find the damping ratio given the seat suspension damping rate is 500 N/ms, the mass of the tractor seat + operator is 80 kg and the natural frequency is 20 rad/s. Correct Answer 0.15

Damping ratio = C/Cc Where C – seat suspension damping rate Cc – Critical damping rate Cc = 2 M ωn Where M – the mass of the tractor seat and operator, ωn – undamped natural frequency ζ = 500 / 2 * 80 * 20 = 0.15

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