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This calculation is an example problem in structural engineering. This content is sponsored by PPI. For similar problems, see the list of review books by PPI
A single point with mass m is vibrating harmonically. The displacement x from point of balance is governed by the differential equation
where ω is a positive constant.
a) Show that
and
are equivalent.
Solution
So the form is x(t)=A sinωt+B cosωt
where
x(t)=A sinωt+B cosωt
with
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