The motion of a damped spring-mass system (Fig. P25.16) is described by the following ordinary differential equation: m (d^2 x)/(d t^2) c (d x)/(d t) k x=0 where x= displacement from equilibrium position (m), t= time (s), m=20 -kg mass, and c= the damping coefficient (N ·s / m ). The damping coefficient c takes on three values of 5 (underdamped), 40 (critically damped), and 200 (overdamped). The spring constant k=20 N / m. The initial velocity is zero, and the initial displacement x=1 m . Solve
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