A string with linear density 2.0 g/m is stretched along the positive x-axis with tension 20 N. One end of the string, at x = 0 m, is tied to a hook that oscillates up and down at a frequency of 100 Hz with a maximum displacement of 1.0 mm. At t = 0 s, the hook is at its lowest point.

a. What are the wave speed on the string and the wavelength?

b. What are the amplitude and phase constant of the wave?

c. Write the equation for the displacement D(x, t) of the traveling wave.

d. What is the string’s displacement at x = 0.50 m and t = 15 ms?