Consider a damped mass-spring system as on p. 96 of the text with mass m =...

  

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Consider a damped mass-spring system as on p. 96 of the text with mass m = 1 kg, damping constant b=2 N sec/m, spring constant k = 2 N/m, and external force given by f(t) 3 3step(t - 10) - 28(t-2). Suppose that initially the mass is 2 m to the right of the equilibrium position at rest. Find the position of the mass and graph it for a suitable interval of t 0. k b x=0 m X FIGURE 4.1.1 Mass-spring system. Consider a damped mass-spring system as on p. 96 of the text with mass m = 1 kg, damping constant b=2 N sec/m, spring constant k = 2 N/m, and external force given by f(t) 3 3step(t - 10) - 28(t-2). Suppose that initially the mass is 2 m to the right of the equilibrium position at rest. Find the position of the mass and graph it for a suitable interval of t 0. k b x=0 m X FIGURE 4.1.1 Mass-spring system.