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(b) A translational mechanical control system is as shown in Figure Q2(b). (11) f(t) X₂ (t) k₁ = 2N/m oooo fv₁ = 2N-s/m x₁ (t) M₁ - 4kg fu₂1N-s/m oooo k₂ - 3N/m fv3 = 1N-s/m M₂ - 2kg Figure Q2(b): Translational mechanical control system. Construct a free-body diagram or electrical analogy diagram of the system. Properly indicate and label all forces that exist in the system. C2 [SP1] [4 marks] Write the equation of motion for the system based on the free body diagram or electrical analogy diagram obtained in Q2(b)(i). C2 [SP1] [3 marks] (iii) Perform the Laplace transform to the equation of motion and obtain state space equation for the system where the output is x₂ (t). C3 [SP2] [7 marks]
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