The spring-damper-mass system shown in Figure Q3(c) is at rest when strict by a hammer with an initial velocity of 0.4 m/s causing the mass to move upwards. Given that the mass m = 2 kg, spring...

The spring-damper-mass system shown in Figure Q3(c) is at rest when strict by
a hammer with an initial velocity of 0.4 m/s causing the mass to move upwards.
Given that the mass m = 2 kg, spring constant k = 128 N/m and coefficient of
viscous damping c = 0.6 Ns/m.
(i) Determine the damped frequency of the spring-damper-mass system.
(ii) Base on the given conditions derived in Q3(c)(i) and parameters given
above, describe how you would derive the equation of motion of
damped-free vibration.

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