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The suspension system of a car traveling on a bumpy road has a stiffness of and the effective mass of the car on the suspension is m=750kg. The road bumps can be considered to be periodic half- sine waves as indicated in Figure. Determine the displacement response of the car. Assume the damping of the system to be negligible. : The Fourier series representation of the bumpy road, y(t), is given by y(t)=frac{1}{pi}+frac{1}{2}sin~2pi t-frac{2}{pi}{frac{cos~4pi t}{1(3)}+frac{cos~8pi t}{3(5)}+frac{cos~12pi t}{5(7)}+cdotcdotcdot} x(t) t(time) 7777 J_{f} m (20 marks) 8^{k} y(t) hann

The suspension system of a car traveling on a bumpy road has a stiffness of and the effective mass of the car on the suspension is m=750kg. The road bumps can be considered to be periodic half- sine waves as indicated in Figure. Determine the displacement response of the car. Assume the damping of the […]

The suspension system of a car traveling on a bumpy road has a stiffness of and the effective mass of the car on the suspension is m=750kg. The road bumps can be considered to be periodic half- sine waves as indicated in Figure. Determine the displacement response of the car. Assume the damping of the system to be negligible. : The Fourier series representation of the bumpy road, y(t), is given by y(t)=frac{1}{pi}+frac{1}{2}sin~2pi t-frac{2}{pi}{frac{cos~4pi t}{1(3)}+frac{cos~8pi t}{3(5)}+frac{cos~12pi t}{5(7)}+cdotcdotcdot} x(t) t(time) 7777 J_{f} m (20 marks) 8^{k} y(t) hann
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