(i) A viscously damped mass-spring system is forced harmonically at the undamped natural frequency, ω/ωn = 1. If the damping ratio, (ζ = (c/ccriticak) = c/2mωn ) is doubled from 0.1 to 0.2, compute...

(i) A viscously damped mass-spring system is forced harmonically at the undamped natural frequency, ω/ωn = 1. If the damping ratio, (ζ = (c/ccriticak) = c/2mωn ) is doubled from 0.1 to 0.2, compute the percentage reduction in the steady-state amplitude. (ii) Compare with the result of a similar calculation for the condition ω/ωn = 2.