Halliday, Resnick & Walker — Waves–I: Problem Problem_33

Two sinusoidal waves with the same amplitude of 9.00 mm and the same wavelength travel together along a string that is stretched along an x axis. Their resultant wave is shown twice in Fig. 16.15, as valley A travels in the negative direction of the x axis by distance d = 56.0 cm in 8.0 ms. The tick marks along the axis are separated by 10 cm, and height H is 8.0 mm. Let the equation for one wave be of the form \(y(x, t) = y_m \sin(kx \pm \omega t + \phi_1)\), where \(\phi_1 = 0\) and you must choose the correct sign in front of \(\omega\). For the equation for the other wave, what are (a) \(y_m\), (b) \(k\), (c) \(\omega\), (d) \(\phi_2\), and (e) the sign in front of \(\omega\)?