Answer Happy

note: show all steps and include Matlab code
used
2. The motion of a damped spring-mass system (Fig. P25.16) is described by the following ordinary differential equation: m d2x dx .to + kx = 0 dt dt2 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: 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 this equation using Matlab over the time period 0<t<15 s. Plot the displacement versus time for each of the three values of the damping coefficient on the same curve. FIGURE P25.16 x 700 m