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Question 8 1. Develop the mathematical model for the two-mass suspension model shown in Figure Q8. [3 marks] 2. Develop a Simulink model of this system to obtain the plots of

x₁ and x2. The input y(t) is a unit step function, and the initial conditions are zero. [9 marks] Engineering Mathematics and Numerical Analysis 2023-2024 M25752 - Coursework 2 Body m₁ m₂ k₂ Suspension Wheel Road Datum level Figure Q8 - Two-mass suspension model Page | 4 Test your model using the following values: m₁ = 250 kg, m₂ = 40 kg, k₁ = 1.5 x 104 N/m, k₂ = 1.5 x 105 N/m, and C₁ = 1917 N-sec/m.

Fig: 1