We consider a spring with natural frequency X/(2T) Hz, which is driven by a force with frequency is w/(2T) Hz. Provided w X, the spring oscillates such that its displacement from equilibrium length is given by y(t) = 1 82 - 2 (Asin (wt) – w sin (At)). (a) Let yo(t) = lim y(t). Find yo(t). (b) Explain the behavior of yo(t) as t→∞ and interpret what this means for the spring.

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