Suppose that m D 1, k D 9:04, c D 0:4, and F .t / D 6et=5
Chapter , Problem 40(choose chapter or problem)
Suppose that m D 1, k D 9:04, c D 0:4, and F .t / D 6et=5 cos 3t. Derive the solution x.t / D tet=5 sin 3t: Show that the maximum value of the amplitude function A.t / D tet=5 is A.5/ D 5=e. Thus (as indicated in Fig. 7.3.5) the oscillations of the mass increase in amplitude during the first 5 s before being damped out as t ! C1. 10 t 2 2 x
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