Question

The suspension of a car can be considered to form a mass-spring system with a undamped frequency of vibration of 0.24 Hz and a damping ratio, ζ=0.5ζ=0.5. The car is driven along a road with a series of ruts that provide a periodic, sinusoidal driving force to the suspension. If the ruts are evenly spaced with a distance 2.1 m between their crests what speed must the driver not drive at to avoid damaging the car?