When a transverse wave travels down a real wire there are forces acting on each portion of the wire in addition to the force resulting from the tension in the wire. An equation that gives an improved description of a wave on a real wire is T (8²y н მ2 where T> 0 is the tension, μ> 0 is the mass per unit length and a > 0 is a constant. მოყ Ət² ay (a) Find the relationship between w, T, μ, k, a for y(x, t) = A cos(wt - kx) to be a solution where w> 0 and k ≥0 are constants.
When a transverse wave travels down a real wire there are forces acting on each portion of the wire in addition to the force resulting from the tension in the wire. An equation that gives an improved description of a wave on a real wire is T (8²y н მ2 where T> 0 is the tension, μ> 0 is the mass per unit length and a > 0 is a constant. მოყ Ət² ay (a) Find the relationship between w, T, μ, k, a for y(x, t) = A cos(wt - kx) to be a solution where w> 0 and k ≥0 are constants.
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Transcribed Image Text:When a transverse wave travels down a real wire there are forces acting on each
portion of the wire in addition to the force resulting from the tension in the wire.
An equation that gives an improved description of a wave on a real wire is
J²y T (8²y
მყ
Ət²
=
дх2
ay
н
where T> 0 is the tension, µ> 0 is the mass per unit length and a > 0 is a
constant.
(a) Find the relationship between w, T, μ, k, a for y(x, t) = A cos(wt – kx) to be a
solution where w> 0 and k> 0 are constants.
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