Practice exam solutions 3

10 0 0 20 0 0 a vibrating string with tension

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Unformatted text preview: , = 0, , 0 = 20, , 0 = 0. A vibrating string with tension constant a=2 ( = 4 has length 10 and the ends are clamped at the x-axis. The string is held at a position 20 above equilibrium and released from rest (zero velocity). 3 4.) [10 points] The ends of a metal bar of length L with thermal diffusivity constant k are insulated so that no heat flows in or out through the ends. Assuming the initial temperature profile of the bar is ,0 = and no heat is lost or gained along the length of the bar, use separation of variables to derive a solution to the one-dimensional heat equation. You may...
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