When a transverse wave travels down a real wire there are forces acting on eachportion 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 isa² yƏt²=Tμl(8(8²y?x2- ay-where T > 0 is the tension, µ > 0 is the mass per unit length and a > 0 is aconstant.(a) Find the relationship between w, T, u, k, a for y(x, t) = A cos(wt - kx) to be asolution where w> 0 and k ≥ 0 are constants.(b) What is the lowest angular frequency that the wire can support according to thecondition found in the previous question.

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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 8²y Ət² = T (0²y) əx² - ay 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. (b) What is the lowest angular frequency that the wire can support according to the condition found in the previous question.

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 8²y Ət² = T (0²y) əx² - ay 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. (b) What is the lowest angular frequency that the wire can support according to the condition found in the previous question.