Halliday, Resnick & Walker — Waves-I: Problem 5

5 Two waves are generated on a string of length 4.0 m to produce a three-loop standing wave with an amplitude of 1.0 cm. The wave speed is 100 m/s. Let the equation for one of the 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 \(\omega t\)?