534_Physics ProblemsTechnical Physics

534_Physics ProblemsTechnical Physics - 536 *P18.30...

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536 Superposition and Standing Waves *P18.30 Let mV = ρ represent the mass of the copper cylinder. The original tension in the wire is Tm g V g 1 == . The water exerts a buoyant force water V g 2 F H G I K J on the cylinder, to reduce the tension to TV g V gV g 2 22 =− F H G I K J F H G I K J ρρ water water . The speed of a wave on the string changes from T 1 µ to T 2 . The frequency changes from f vT 1 11 1 λµ λ to f T 2 2 1 = µλ where we assume = 2 L is constant. Then f f T T 2 1 2 1 28 9 2 1 0 0 2 892 = water .. . f 2 300 842 291 Hz Hz . . *P18.31 Comparing yx t = 0002 100 .s i n c o s m rad m rad s a f bg di ππ with yAk x t = 2s i n c o s ω we find k 2 1 π m, = 200 . m , and ωπ 21 0 0 1 f s: f = 50 0 . H z (a) Then the distance between adjacent nodes is d NN m 2 . and on the string are L d NN m m loops 300 3 . . For the speed we have vf =
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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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