Determine the displacement response time, Mechanical Engineering

(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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