Assignment:
Consider the system of Fig. and plot the response to the initial conditions x-(0) = 2cm, 1(0) = 0 for the values of the damping factor ζ = 0.1,1 and 2. Let the frequency of undamped oscillation have the value ωn = 5 rad/s and plot the response over the interval 0 ≤ t ≤ 5 s.
Provide complete and step by step solution for the question and show calculations and use formulas.