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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
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
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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- Fall '09