Question: 6. Consider a nonlinear spring described by the system d_w_ di where c is the damping coefcient. 3;, dt m m m (a) Set (2

6. Consider a nonlinear spring described by the system d_w_ di where c is the damping coefcient. 3;, dt m m m (a) Set (2 = 0. k = 1, m = 1 and B = 0.25. Suppose the initial conditions are x(0) = 0 and y(0) = A > 0. Determine A. so that ifA = A. then lirn.g_,cm :r:(t) = 2 and limHoo y(t) = 0. (b) Describe the behavior of this spring for A A.. (c) For the same parameters determine c. so that for 0 c... this critical point is a stable node

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