Annotation 2019-09-27 204516.jpg - Problem 3 Consider an"A string on a guitar which is"fixed-fixed on the guitar The length of the string that is free

Annotation 2019-09-27 204516.jpg - Problem 3 Consider an"A...

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Unformatted text preview: Problem 3: Consider an "A" string on a guitar, which is "fixed-fixed" on the guitar. The length of the string that is free to vibrate is L=64.8 cm. The linear density of the string is pi=3.5x10-2 g/cm. A - What is the wave number (spatial frequency) k in radians/cm that corresponds to the first harmonic? B - What tension in newtons is required to tune the string to the desired fundamental frequency (first harmonic) off=110 Hz? C - The string is "plucked" by producing an initial displacement h=0.5cm at x=L/2 then releasing the string. Plot y(x, t) at t=0 from x=0 to x=L. D - Using your knowledge about the problem and the simplest method possible, determine the Fourier coefficient A1. E - Using your knowledge about the problem and the simplest method possible, determine the Fourier coefficient B1. F - Using your knowledge about the problem and the simplest method possible, determine the Fourier coefficient A2. G - Using your knowledge about the problem and the simplest method possible, determine the Fourier coefficient B2. H - Plot the displacement of the first and second harmonics from x=0 to x=L at t=0. Note: this is the first two terms of Kinsler equation (2.10.11) [Alsin(kix) and Asin(kzx)]. (use MATLAB or origin)...
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  • Fall '19
  • 2 g, 0.5cm

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