Standing Wave 1 fixed end 5th

Standing Wave (a fixed end and an open end, 5th harmonic)

  • Two counter-propagating traveling waves (the 1st and 2nd waves) form a standing wave (the 3rd wave).
  • Each point in a traveling wave performs a simple harmonic motion. Adjacent points oscillate out of phase, but no point is stationary at all times. 
  • Nodes in the standing wave: at any given momoent, the displacements of the two traveling waves are always equal in magnitude and opposite in direction, thus forming a node.
  • The distance between two adjacent nodes is 1/2 the wavelength.
  • There are 3 nodes in the 5th harmonic; the length of the string equals 5/4 the wavelength.
  • The frequency of the 5th harmonic is 5 times the fundamental frequency for this string.