(Solution) - For a certain transverse standing wave on a long string -(2025 Original AI-Free Solution)

Paper Details

For a certain transverse standing wave on a long string, an anti node 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 Figure, where the scale of the y axis is set by ys = 4.0 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 = 0.40m.