# ch16-p090 - 90. (a) The wave number for each wave is k =...

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y 1 b as the remaining traveling wave. Since the argument of y 1 b involves the subtraction kx ω t , then y 1 b travels in the + x direction. (c) If y 2 (which travels in the – x direction, which for simplicity will be called “leftward”) had the larger amplitude, then the system would consist of a standing wave plus a leftward moving wave. A simple way to obtain such a situation would be to interchange the amplitudes of the given waves. (d) Examining carefully the vertical axes, the graphs above certainly suggest that the largest amplitude of oscillation is y max = 4.0 mm and occurs at x = λ /4 = 62.6 mm. (e) The smallest amplitude of oscillation is y min = 1.0 mm and occurs at x = 0 and at x = λ /2 = 125 mm. (f) The largest amplitude can be related to the amplitudes of y 1 and y 2 in a simple way: y max = y 1 m + y 2 m , where y 1 m = 2.5 mm and y 2 m = 1.5 mm are the amplitudes of the original traveling waves.
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## This note was uploaded on 04/16/2011 for the course PHYSICS 191262 taught by Professor Najafzadeh during the Spring '09 term at The Petroleum Institute.

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