524_Physics ProblemsTechnical Physics

524_Physics ProblemsTechnical Physics - 526 Superposition...

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526 Superposition and Standing Waves P18.2 FIG. P18.2 P18.3 (a) yf x v t 1 =− af , so wave 1 travels in the + x direction x v t 2 =+ , so wave 2 travels in the x direction (b) To cancel, yy 12 0 += : 5 34 2 5 6 2 22 xt −+ = + +− + a f a f 6 6 −= + ± +− a f for the positive root, 8 6 t = t = 0750 . s (at t = . s, the waves cancel everywhere) (c) for the negative root, 6 6 x = x = 100 m (at x = . m, the waves cancel always) P18.4 Suppose the waves are sinusoidal. The sum is 4 00 4 00 90 0 .s i n i n . cm cm a f a f a f a f kx t kx t + ° ωω 2 4 00 45 0 45 0 i n . c o s . cm a f a f kx t −+ ° °
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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