Assume that the system described by the equation mu + u + ku = 0 is either

Chapter 3, Problem 19

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Assume that the system described by the equation mu + u + ku = 0 is either criticallydamped or overdamped. Show that the mass can pass through the equilibrium position atmost once, regardless of the initial conditions.Hint: Determine all possible values of t for which u = 0.

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