An incident sinusoidal wave on a string (amplitude A, wave number k, wavelength A, angular frequency W, wave speed v) tr
Posted: Fri May 06, 2022 10:13 am
An incident sinusoidal wave on a string (amplitude A, wave
number k, wavelength A, angular frequency W, wave speed v) travels
in the negative x direction. At a fixed end, the wave is reflected.
a) Write the wave function of the incident wave y and of the
reflected wave y as a function of x and t. b) Use the principle of
superposition and derive an equation for the resulting standing
waves. c) Give the position of the nodes as a function of 1. d) We
now assume that the positions x=0 and x=L are fixed end. Show that
the standing waves exist for frequencies fn=nv
number k, wavelength A, angular frequency W, wave speed v) travels
in the negative x direction. At a fixed end, the wave is reflected.
a) Write the wave function of the incident wave y and of the
reflected wave y as a function of x and t. b) Use the principle of
superposition and derive an equation for the resulting standing
waves. c) Give the position of the nodes as a function of 1. d) We
now assume that the positions x=0 and x=L are fixed end. Show that
the standing waves exist for frequencies fn=nv