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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) y f x vt 1 = a f , so wave 1 travels in the + x direction y f x vt 2 = + a f , so wave 2 travels in the x direction (b) To cancel, y y 1 2 0 + = : 5 3 4 2 5 3 4 6 2 2 2 x t x t + = + + + a f a f 3 4 3 4 6 3 4 3 4 6 2 2 x t x t x t x t = + = ± + a f a f a f for the positive root, 8 6 t = t = 0 750 . s (at t = 0 750 . s, the waves cancel everywhere) (c) for the negative root, 6 6 x = x = 1 00 . m (at x = 1 00 . m, the waves cancel always) P18.4 Suppose the waves are sinusoidal. The sum is 4 00 4 00 90 0 . sin . sin . cm cm a f a f a f a f kx t kx t + + ° ω ω 2 4 00 45 0
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