Aging Spring. As a spring ages, its spring “constant”
Chapter 8, Problem 30E(choose chapter or problem)
Aging Spring. As a spring ages, its spring “constant” decreases in value. One such model for a mass–spring system with an aging spring is where m is the mass, b the damping constant, k and ? positive constants, and x(t) the displacement of the spring from its equilibrium position. Let m = 1 kg, b = 2 N-sec/m, k = 1 N/m, and ? = 1(sec)-1 . The system is set in motion by displacing the mass 1 m from its equilibrium position and then releasing it (x(0) = 1,x’(0) = 0). Find at least the first four nonzero terms in a power series expansion about t = 0 for the displacement.
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