Halliday, Resnick & Walker — Waves–I: Problem Problem_54

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. 16.18, 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 \( y(x, t) = y_m \sin(kx + \omega t) \). In the equation for the other wave, what are (a) \( y_m \), (b) \( k \), (c) \( \omega \), and (d) the sign in front of \( \omega \)?