If software supports 3D capability, sketch the solution curve t → (y(t), υ(t), t) for the spring-mass system with constants and initial conditions given in the indicated exercise
Given the mass, damping, and spring constants of an undriven spring-mass system
Also given initial conditions. Use a numerical solver to
(i) provide separate plots of the position versus time (y vs. t) and the velocity versus time (v vs. t),
(ii) provide a combined plot of both position and velocity versus time, and
(iii) provide a plot of the velocity versus position (υ vs. y) in the yυ phase plane.
In the exercise, choose a viewing window that highlights the important features of the solutions.
m = 1 kg, μ = 0.2 kg/s, k = 1 kg/s2, y (0) = −3 m, y′(0) = −2 m/s
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