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2. Compute the ζ and ωd for the damped system with m=1 kg, c=2 kg/s, and...

2. Compute the ζ and ωd for the damped system with m=1 kg, c=2 kg/s, and k=10 N/m. Is the system overdamped, underdamped, or critically damped? Calculate the damped natural frequency. Compute and plot the solution given the initial conditions x0 = 10 mm and v0 = 0 mm/s. (Hint: Use the same steps in Q1. Pay attention to units).

3. Consider the system x’’+ 4x’ + x = 0 for x0 = 1 mm, v0 = 0 mm/s. Is this system overdamped, underdamped or critically damped? Compute and plot the solution. Which root dominates as time goes on (that is, one root will die out quickly and the other will persist), why?

(I ALREADY HAVE THE SOLUTION BUT CAN YOU PLEASE SHOW ALL THE STEPS TO PLOT THE GRAPH IN MATLAB)

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