Assume that the model for the spring/mass system in Problem 29 is replaced by m'' + 2x'

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Assume that the model for the spring/mass system in Problem 29 is replaced by

m'' + 2x' + kx = 0


In other words, the system is free but is subjected to damping numerically equal to 2 times the instantaneous velocity. With the same initial conditions and spring constant as in Problem 29, investigate whether a mass m can be found that will pass through the equilibrium position at t = 1 second.

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