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Question 4 A block of m- 20 kg is initially 0.1 m to the left of its equilibrium position and released from rest at time r-0. The spring stiffness k is 10 N/m. Figure Q4 0 Draw a simplified diagram of the system, and determine its natural frequency in rad/s assuming c-0 (no damping). 6 Marks 10.87 rad/s (ii) Determine its acceleration at time t-2 s if c 0 (no damping). 16 Marks) 10.0127 or-00127 ms ] (ii) Determine its damping ratio if damping constant c- 20 Ns/m. 3 Marks [0.57 (iv) Determine its displacement at time -2 s ifc 20 Ns/m. 110 Marks) 10.0312 or -08312 m)

Answer 1

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