Two progressive waves of identical amplitude and frequency travel in opposite directions along a stretched string and produce a stationary wave. At t = 0 the combined displacement of the string is zero at x = 0 m and x = 0.15 m, while it is +6.0 cm at x = 0.075 m.
a. (i) Calculate the wavelength of the constituent progressive waves.
b. (ii) Obtain the expression for the stationary wave produced on the string, writing the amplitude as a function of x only.
c. (iii) List all nodes and antinodes lying between x = 0 m and x = 0.30 m.
d. (iv) Sketch the displacement–time graph for the point x = 0.0375 m for two complete oscillations and label the time period.