For the car suspension shown in Figure determine the differential equation, transfer function and state space...

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For the car suspension shown in Figure determine the differential equation, transfer function and state space model. Plot the position of the car and the wheel after the car hits a unit bump (that is, r is a unit step) using Matlab. Assume m₁ = 10 kg, m₂ = 350 kg, k₁= 500,000 N/m, and k₂ = 10,000 N/m. Find the value of b that you would prefer if you were a passenger in the car. k₂ ww m2 UA m1 k₁ W b For the car suspension shown in Figure determine the differential equation, transfer function and state space model. Plot the position of the car and the wheel after the car hits a unit bump (that is, r is a unit step) using Matlab. Assume m₁ = 10 kg, m₂ = 350 kg, k₁= 500,000 N/m, and k₂ = 10,000 N/m. Find the value of b that you would prefer if you were a passenger in the car. k₂ ww m2 UA m1 k₁ W b