Find ye(x) and yt(t). keep in mind that yt(t) should be a trigonometric function of unit amplitude. express your answers in terms of a, k, x, ω (greek letter omega), and t. separate the two functions with a comma.
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"The first and foremost, we are to consider the traveling wave as:
Y1 (x, t) = A sin (kx – ωt)
This shows the lateral displacement of a string.
Then we have to calculate the sun of two as, y1(ω, t) and y2(x, t)
Ys(x, t) = ye(x) yt(t)
The traveling wave will be,
A sin(kx +ωt)
Y1(x, t) = A sing(kx – ωt) = A (sin kx cos ωt – cos kx sin ωt)
Hence, 2A sing Ka, sin ωt
"
Explanation:
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