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Spring system, mass and dampers with k = 4000 N / m, m = 10 kg...

Spring system, mass and dampers with k = 4000 N / m, m = 10 kg and c = 40 Ns / m
get a harmonic excitation force F (t) = 200 sin 16t N with initial conditions x0 = 0.05 m
and ?̇0 = 10 m / s. Look for it,
a. Response x due to initial conditions (free vibration)
b. Response x due to excitation force (forced vibration)
c. The magnitude of the total xtot response (in m or mm) at t = 2.5 seconds

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