Halliday, Resnick & Walker — Waves-I: Problem 14

14 For a particular transverse standing wave on a long string, one of the antinodes is at x = 0 and an adjacent node is at x = 0.10 m. The displacement y(t) of the string particle at x = 0 is shown in Fig. 16-25, where the scale of the y axis is set by $y_s = 4.0 \text{ cm}$. When t = 0.50 s, what is the displacement of the string particle at (a) x = 0.20 m and (b) x = 0.30 m? What is the transverse velocity of the string particle at x = 0.20 m at (c) t = 0.50 s and (d) t = 1.0 s? (e) Sketch the standing wave at t = 0.50 s for the range x = 0 to x = 0.40 m.