(i) Formulate the equation of motion for the system shown in Figure. List TWO (2) assumptions made in this formulation.

(ii) Find the response of this system at t = 3s. The system is started with the displacement of 5 cm and velocity of 3 cm/s. Given m = 300 kg, k = 5 kN/m and c = 150 Ns/m. Sketch the displacement response time history.

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