For the damped spring-mass system shown, the damping factor is ζ = 0.25 and the undamped natural frequency is f = 3 Hz. When the support undergoes the vertical movement y(t) = Y sin 18t (t is the time in seconds), the relative amplitude of the steady-state vibration of the mass m is Z = 10 mm. Determine the amplitude Y of the support displacement.
![2227_f2082558-b445-4e4d-ae91-87ebcfffc68e.png](https://secure.tutorsglobe.com/CMSImages/2227_f2082558-b445-4e4d-ae91-87ebcfffc68e.png)