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The suspension system of a car is modelled as having an effective stiffness of 5x106 (N/m) and an effective mass of 750 (kg). The car is travelling over a road with bumps that can be modeled as periodic half-sine waves as shown above. Use the first 4 terms of a Fourier series to represent the road's contour
[1] For road bumps with a height of 10 (cm) that are spaced with a period of 5 (secs) find the response of the car for 20 (secs) of travel; i.e. plot x (t) for 0 < t < 20 (secs).
[2] Design a viscous damper to add to the suspension; in parallel with the spring. For road bumps with a height of 10 (cm) that are spaced with a period of 5 (secs) find the response of the car with your suspension design for 20 (secs) of travel over the same road conditions as in [1].
(a) Calculate the natural frequency of mass m = 1 Kg placed at one end of a cantilever beam of negligible mass. Length of cantilever = 500 mm, d = 30 mm, b = 20 mm, E = 210x10 9 N
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