Consider again the system in Example 1 of this section, in which an oscillation is
Chapter 6, Problem 9(choose chapter or problem)
Consider again the system in Example 1 of this section, in which an oscillation is excited by a unit impulse at t = 5. Suppose that it is desired to bring the system to rest again after exactly one cycle---that is, when the response first returns to equilibrium moving in the positive direction. N a. Determine the impulse k (t t0) that should be applied to the system in order to accomplish this objective. Note that k is the magnitude of the impulse and t0 is the time of its application. G b. Solve the resulting initial value problem, and plot its solution to confirm that it behaves in the specified manner. N 1
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