Question: Changing the Damping Consider the mass-spring system + b + x = 0, x(0) = 4, (0) = 0. For damping coefficient b = 0,
+ b + x = 0, x(0) = 4, (0) = 0.
For damping coefficient b = 0, 0.5, 1, 2, 4, the corresponding solutions are plotted together in Fig. 4.3. 12
(a) Their phase-plane trajectories are plotted in Fig. 4.3.l2
(b) Make a trace of both graphs and label each curve with the appropriate value of b.
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12 6 3-2-1 -2 FIGURE 4.3.2 Solutions and phase plane trajectories for Problem 47.
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