The equation of motion of a springmass system with damping (see Section 3.7) ismd2udt2 +
Chapter 9, Problem 17(choose chapter or problem)
The equation of motion of a springmass system with damping (see Section 3.7) ismd2udt2 + cdudt + ku = 0,where m, c, and k are positive. Write this second order equation as a system of two firstorder equations for x = u, y = du/dt. Show that x = 0, y = 0 is a critical point,and analyzethe nature and stability of the critical point as a function of the parameters m, c, and k. Asimilar analysis can be applied to the electric circuit equation (see Section 3.7)Ld2Idt2 + RdIdt +1CI = 0.
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