Standing Wave 2 fixed ends 2nd

Standing Wave (2 fixed ends, second 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 the sum forming a node.
  • The distance between two adjacent nodes is 1/2 the wavelength.
  • There are 3 nodes in the 2nd harmonic; the length of the string equals the wavelength.
  • The frequency of the 2nd harmonic is 2 times the fundamental frequency for this string.