problem15_71

University Physics with Modern Physics with Mastering Physics (11th Edition)

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Unformatted text preview: y ( x, t ) = y1 ( x, t ) + y2 ( x, t ) = Α[ cos(kx + ωt ) + cos(kx − ωt )] = Α[ cosωt cos kx − sin ωt sin kx + cos ωt cos kx + sin ωt sin kx] = (2 Α) cosωt cos kx. b) At x = 0, y (0, t ) = (2 Α)cosωt , and so x = 0 is an antinode. c) The maximum displacement is, front part (b), ΑSW = 2 Α, the maximum speed is ωΑSW = 2ωΑ and the 2 2 magnitude of the maximum acceleration is ω Αsw = 2ω Α. 15.71: a) ...
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