Question

Wave on a String

A string with linear mass density 2.0 g/m is stretched along the positive x-axis under a tension of 20 N. The other end of the string, at x = 0m is tied to a hook that oscillates up and down at a frequency of 100Hz with a maximum displacement from equilibrium of 1.0 mm. At t= 0s, the hook is at it's lowest point. (a) What are the wave speed and the wavelength on the string? What are the amplitude and the phase constant of the wave? (c) Write the equation for the displacement y(x,t) for this traveling wave. (d) What is the string's displacement at x = 0.50m and t = 15ms?

Answer 1