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18. Waves & Sound - Part 2 of 3
18. Waves & Sound - Part 2 of 3
18. Waves & Sound / Standing Wave Functions / Problem 8

A second harmonic is generated in an elastic cord of length l stretched between two clamps. The vertical displacement (y) of a cord element as a function of the horizontal position x and time t is given by the equation {"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mstyle mathsize=\"16px\"><mi>y</mi><mfenced><mrow><mi>x</mi><mo>,</mo><mi>t</mi></mrow></mfenced><mo>=</mo><mn>2</mn><mi>A</mi><mi>sin</mi><mo>&#xA0;</mo><mfenced><mrow><mfrac><mrow><mn>2</mn><mi mathvariant=\"normal\">&#x3C0;</mi></mrow><mi>&#x3BB;</mi></mfrac><mi>x</mi></mrow></mfenced><mi>sin</mi><mfenced><mrow><mi>&#x3C9;</mi><mi>t</mi></mrow></mfenced></mstyle></math>","truncated":false} . Make a sketch of the standing-wave pattern.

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