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Normal modes - Harvard University
3 µ 1 ¡1 ¶ ei!ft+C 4 µ 1 ¡1 ¶ e¡i!ft: (13) We now perform the usual step of invoking the fact that the positions x1(t) and x2(t) must be real for all t. This yields that standard result that C1 = C⁄ 2 · (As=2)ei`s and C3 = C⁄ 4 · (Af=2)ei`f. We have included the factors of 1=2 in these deflnitions so that we won’t have a bunch ...
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