Edward F. Redish
The displacement of a bit of a transversely oscillating string satisfies the wave equation
T is the tension of the string and ρ is the mass density (mass per unit length) of the string.(a) For a string connected between two fixed points at x = 0 and x = L , find the frequencies and shapes of the normal modes of the system. (Be sure to show how you get these conclusions starting from the information given.)
(b) Suppose at t ≤ 0, the string is held so that y(x,0) = f(x). At the time t = 0 the string is released. Explain how you would go about finding y ( x,t ) for t > 0 and write equations that would allow you to calculate that function if you had a computer available.
|University of Maryland||Physics Department||Physics 374 Home|
Last revision 2. December, 2005.