Problem 2-Consider the one degree-of-freedom model of a vehicle suspension system of Figure 2 below.
k = 70,000 N/m
ζ = 0.15
250 kg
Figure 2
Consider a motorcycle of mass 250 kg. The suspension stiffness is 70,000 N/m and the damping ratio is 0.15. The motorcycle travels over a terrain that is approximately sinusoidal with a distance between peaks of 10 m and the distance from peak to valley is 10 cm. What is the acceleration amplitude A felt by the motorcycle rider when she is traveling at 100 m/sec?
Given:
l = 10 m, d = 5 cm, ζ = 0.15, m = 250 kg, k = 70,000 N/m, v = 100 m/sec