Damped Motion Assume that the model for the spring/mass system in is replaced by mx" +

Chapter 3, Problem 32

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Damped Motion Assume that the model for the spring/mass system in is replaced by mx" + 2x' + kx = 0. In other words, the system is free but is subjected to damping numerically equal to two times the instantaneous velocity. With the same initial conditions and spring constant as in 31, investigate whether a mass m can be found that will pass through the equilibrium position at t = 1 second.

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