Question: An object with mass m = 2 is attached to both a spring with spring constant k = 40 and a dashpot with damping constant

An object with mass m = 2 is attached to both a spring with spring constant k = 40 and a dashpot with damping constant c = 16. The mass is set in motion with r (0) = 5 and v (0) = 4. (a) Find the position function I (t). (b) Is the motion overdamped, critically damped, or underdamped? Give your rea- soning. (c) If it is underdamped, write the position function in the form Ceat cos (bt - o)

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