Solved: Two sinusoidal waves with the same amplitude and

Chapter 16, Problem 54

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Two sinusoidal waves with the same amplitude and wavelength travel through each other along a string that is stretched along an x axis. Their resultant wave is shown twice in Fig. 16-40, as the antinode A travels from an extreme upward displacement to an extreme downward displacement in 6.0 ms. The tick marks along the axis are separated by 10 cm; height H is 1.80 cm. Let the equation for one of the two waves be of the form y(x, t) = YIIl sin(kx + wt). In the equation for the other wave, what are (a) YIIl' (b) k, (c) w, and (d) the sign in front of w?

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