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Physical realization

 

For our first physical realization of a system exhibiting wave behavior, we use the string system in Figure 1. The string stretches between two vertical walls held at a distance L apart, one wall at x=0 and the other at x=L. The wall at x=0 holds the string in place at y=0, where the string attaches to a pin. The wall at x=L has a small hole at y=0 through which the string passes. This ensures that the string at this end also is at position y=0 while allowing us to apply a force F to keep the string under constant tension tex2html_wrap_inline763 . Otherwise, the string is free to move. The figure shows an example where the string has been ``plucked'' so that it now supports a wave as sketched in the figure. The total mass of the length of string between the walls is M and, thus, the mass per unit length of the string is tex2html_wrap_inline767 .

   figure18
Figure 1: String system illustrating simple wave behavior



Tomas Arias
Mon Oct 15 16:15:07 EDT 2001