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Statement of a problem № 3460

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Show that the superposition of the waves y1 = A sin(kx-wt ) and y2 = 3 A sin(kx + wt ) is a pure standing wave plus a travelling wave in the negative direction along the x-axis. Find the amplitude of (a) the standing wave and (b) the travelling wave.

Solution:
Show that the superposition of the waves y1 = A sin(kx-wt ) and y2 = 3 A sin(kx

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