Suppose a 32-pound weight stretches a spring 2 feet. If

Chapter 7, Problem 71E

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Suppose a 32-pound weight stretches a spring 2 feet. If the weight is released from rest at the equilibrium position, find the equation of motion x(t) if an impressed force f(t) = 20t acts on the system for \(0 \leq t<5\) and is then removed (see Example 5). Ignore any damping forces. Use a graphing utility to graph x(t) on the interval [0, 10].

Text Transcription:

0 leq t < 5

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