Question II-A, The motion of a two-mass suspension model. (20 Marks) Consider the two-mass suspension model...

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Question II-A, The motion of a two-mass suspension model. (20 Marks) Consider the two-mass suspension model shown in Figure II-A.1. The equations of motion are: m* + (C + )x + (k + k)x C*-Kx = 0 M + * + KXCX - kx = f(t) Suppose that m = m = 1 = 3, C = 1, k = 1 and k = 4. (1) (15 Marks) Develop a Simulink model of this system. In your report, you need to give information on: a) Answer a question: whether to use a state-variable representation or a transfer- function representation of the model, and why? (3 Marks) b) How is the Simulink model derived? In your report, you need to present (i) all the relevant equation derivations based on which you get the Simulink model, and (ii) the complete Simulink model. (6 Marks) c) For each block you have in your Simulink model, give details on all the settings, and the reasons for your settings. (6 Marks) (2) (5 Marks) Use the Simulink model to plot the response for the following input, f(t). The initial conditions are zero, ie, x = 0, = 0; x = 0, x = 0. f(t) = {2-e 0sts1 1 Question II-A, The motion of a two-mass suspension model. (20 Marks) Consider the two-mass suspension model shown in Figure II-A.1. The equations of motion are: m* + (C + )x + (k + k)x C*-Kx = 0 M + * + KXCX - kx = f(t) Suppose that m = m = 1 = 3, C = 1, k = 1 and k = 4. (1) (15 Marks) Develop a Simulink model of this system. In your report, you need to give information on: a) Answer a question: whether to use a state-variable representation or a transfer- function representation of the model, and why? (3 Marks) b) How is the Simulink model derived? In your report, you need to present (i) all the relevant equation derivations based on which you get the Simulink model, and (ii) the complete Simulink model. (6 Marks) c) For each block you have in your Simulink model, give details on all the settings, and the reasons for your settings. (6 Marks) (2) (5 Marks) Use the Simulink model to plot the response for the following input, f(t). The initial conditions are zero, ie, x = 0, = 0; x = 0, x = 0. f(t) = {2-e 0sts1 1