For the motorcycle of Chapter Problem 4.49 determine (a) the frequency response of the motorcycle's suspension system

Question:

For the motorcycle of Chapter Problem 4.49 determine

(a) the "frequency response" of the motorcycle's suspension system by plotting the amplitude of acceleration versus motorcycle speed and

(b) determine and plot the amplitude of displacement of the motorcycle versus its speed.

Data From Chapter Problem 4.49:

Consider the one degree-of-freedom model of a vehicle suspension system of Figure P4.49. Consider a motorcycle of mass \(250 \mathrm{~kg}\). The suspension stiffness is \(70,000 \mathrm{~N} / \mathrm{m}\) and the damping ratio is 0.15 . The motorcycle travels over a terrain that is approximately sinusoidal with a distance between peaks of \(10 \mathrm{~m}\) and the distance from peak to valley is \(10 \mathrm{~cm}\). 

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