4. (40pts) The equivalent model for one wheel of a pickup truck is illustrated in the following figure. The mass of the vehicle that is distributed on this wheel is My and the mass of the wheel is My. The suspension spring has a spring constant ks and the tire has a spring constant of Kw. The damping constant of the shock absorber is B. (a) (30pts) Using MATLAB plot the displacement of the truck x2(t) for Oct 20s when the truck runs through a pothole of depth of 0.1m for each set of model parameters given below. Include the MATLAB CODE and the plot in your homework submission. Label the x-axis and y-axis of your plot. Assume Set 1. Mw = 50kg, Mo = 400kg, Kw = 200,000 N/m, Ks = 20,000 N/m and Bs = 1,000 N-s/m. Set 2. Mw = 50kg, Mb = 600kg, Kw = 200,000 N/m, Ks = 20,000 N/m and Bs = 1,000 N-s/m. Set 3. Mw = 50kg, M. = 600kg, Kw = 200,000 N/m, Ks = 20,000 N/m and B. = 10,000 N- s/m. Hint: use the impulse response function in MATLAB. You can use the MATLAB code "ExampleMatlabCodeSimulatingSystem Responses" on Canvas. (b) (10pts) Based on the plots in (a) comment on how weight of the car body Mb AND the damping constant of the shock absorber Bs affect the amplitude and duration of the vertical vibration of the car. Mb K Road "Pothole 4. (40pts) The equivalent model for one wheel of a pickup truck is illustrated in the following figure. The mass of the vehicle that is distributed on this wheel is My and the mass of the wheel is My. The suspension spring has a spring constant ks and the tire has a spring constant of Kw. The damping constant of the shock absorber is B. (a) (30pts) Using MATLAB plot the displacement of the truck x2(t) for Oct 20s when the truck runs through a pothole of depth of 0.1m for each set of model parameters given below. Include the MATLAB CODE and the plot in your homework submission. Label the x-axis and y-axis of your plot. Assume Set 1. Mw = 50kg, Mo = 400kg, Kw = 200,000 N/m, Ks = 20,000 N/m and Bs = 1,000 N-s/m. Set 2. Mw = 50kg, Mb = 600kg, Kw = 200,000 N/m, Ks = 20,000 N/m and Bs = 1,000 N-s/m. Set 3. Mw = 50kg, M. = 600kg, Kw = 200,000 N/m, Ks = 20,000 N/m and B. = 10,000 N- s/m. Hint: use the impulse response function in MATLAB. You can use the MATLAB code "ExampleMatlabCodeSimulatingSystem Responses" on Canvas. (b) (10pts) Based on the plots in (a) comment on how weight of the car body Mb AND the damping constant of the shock absorber Bs affect the amplitude and duration of the vertical vibration of the car. Mb K Road "Pothole