Consider again the nonlinear system of the car moving forward at a constant speed and encountering...

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Consider again the nonlinear system of the car moving forward at a constant speed and encountering a bump, as solved in class and contained in section 5.6.1 of your textbook. Assume now that the hertzian frequency is 2 Hz, and the height of the bump is h = 0.1 m. Do the following: a) Build the bond graph and derive equations b) Carry out a parametric study using speeds of 5 mph to 50 mph, in steps of 5mph and plot for each: (1) the input velocity, (2) the force of the tire force, the damper force, and the suspension spring force versus time. c) Also plot the: (1) force of the damper versus its velocity, (2) the force of the suspension spring versus its displacement. Consider again the nonlinear system of the car moving forward at a constant speed and encountering a bump, as solved in class and contained in section 5.6.1 of your textbook. Assume now that the hertzian frequency is 2 Hz, and the height of the bump is h = 0.1 m. Do the following: a) Build the bond graph and derive equations b) Carry out a parametric study using speeds of 5 mph to 50 mph, in steps of 5mph and plot for each: (1) the input velocity, (2) the force of the tire force, the damper force, and the suspension spring force versus time. c) Also plot the: (1) force of the damper versus its velocity, (2) the force of the suspension spring versus its displacement.