The vibrations of a string of length L with two fixed ends 0 and L, or pressure waves that propagate along the string can be modeled by the wave equation µwtt = τwxx or µρtt = τ ρxx. Note that kinds of waves obey the same equation! The pressure waves are harder to visualize, but can be easier to visualize if you imagine the wave that travel along a slinky. (a) Find the solutions to the wave equation µwtt = τwxx with the boundary conditions w(0) = w(L) = 0. (b) What are the possible frequencies of oscillation of the string?
The vibrations of a string of length L with two fixed ends 0 and L, or pressure waves that propagate along the string can be modeled by the wave equation µwtt = τwxx or µρtt = τ ρxx. Note that kinds of waves obey the same equation! The pressure waves are harder to visualize, but can be easier to visualize if you imagine the wave that travel along a slinky. (a) Find the solutions to the wave equation µwtt = τwxx with the boundary conditions w(0) = w(L) = 0. (b) What are the possible frequencies of oscillation of the string?
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The vibrations of a string of length L with two fixed ends 0 and L, or pressure waves that propagate along the string can be modeled by the wave equation
µwtt = τwxx or µρtt = τ ρxx. Note that kinds of waves obey the same equation!
The pressure waves are harder to visualize, but can be easier to visualize if you imagine the wave that travel along a slinky.
(a) Find the solutions to the wave equation µwtt = τwxx with the boundary
conditions w(0) = w(L) = 0.
(b) What are the possible frequencies of oscillation of the string?
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