Halliday, Resnick & Walker — Waves-I: Problem 55

55 A sinusoidal transverse wave is traveling along a string in the negative direction of an x axis. Figure 16-36 shows a plot of the displacement as a function of position at time t = 0; the scale of the y axis is set by $y_s = 4.0$ cm. The string tension is 3.6 N, and its linear density is 28 g/m. Find the (a) amplitude, (b) wavelength, (c) wave speed, and (d) period of the wave. (e) Find the maximum transverse speed of a particle in the string. If the wave is of the form $y(x, t) = y_m \sin(kx \pm \omega t + \phi)$, what are (f) $k$, (g) $\omega$, (h) $\phi$, and (i) the correct choice of sign in front of $\omega$?