Halliday, Resnick & Walker — Waves-I: Problem 60

60 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. 16-38, 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 15 cm; height H is 1.20 cm. Let the equation for one of the two waves be of the form \(y(x, t) = y_m \sin(kx - \omega t)\). In the equation for the other wave, what are (a) \(y_m\), (b) \(k\), (c) \(\omega\), and (d) the sign in front of \(\omega\)?