Obtain the solution for Eq. (12.62) for the forced harmonic oscillator using Laplace transforms.

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Obtain the solution for Eq. (12.62) for the forced harmonic oscillator using Laplace transforms.
where Fo and a are constants. Find the general solution to
the equation of motion.
The equation of motion is
Fo sin (at)
k
+-z =
dt2
(12.62)
m
m
The solution to the complementary equation is the same as
for the unforced harmonic oscillator:
Zc = bị cos(wt)+b2 sin(@t).
Transcribed Image Text:where Fo and a are constants. Find the general solution to the equation of motion. The equation of motion is Fo sin (at) k +-z = dt2 (12.62) m m The solution to the complementary equation is the same as for the unforced harmonic oscillator: Zc = bị cos(wt)+b2 sin(@t).
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