Mathematics, 07.05.2020 05:01, Abrahamolve

The normal modes of this system are products of trigonometric functions. (For linear systems, the time dependance of a normal mode is always sinusoidal, but the spatial dependence need not be.) Specifically, for this system a normal mode is described by yi(x, t)=Aisin(2πxλi)sin(2πfit).

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The normal modes of this system are products of trigonometric functions. (For linear systems, the ti...