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

Chapter 3, Problem 20

(choose chapter or problem)

Assume that the system described by the equation mu + u + ku = 0 is critically dampedand that the initial conditions are u(0) = u0, u(0) = v0. If v0 = 0,show that u 0 ast but that u is never zero. If u0 is positive, determine a condition on v0 that will ensure thatthe mass passes through its equilibrium position after it is released.

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