s11f1015

s11f1015 - dx x q x 2-x 2 = q x 2-x 2 . (5) Therefore, the...

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Solution for assignment 15: The total Energy the is E = 1 2 ˙ x 2 + 1 2 k x 2 . (1) The initial values imply E = 1 2 k x 2 0 . (2) Therefore, ˙ x 2 = k m ± 1 x 2 0 - 1 x 2 ! (3) ˙ x = ± s k m x 2 0 q x 2 - x 2 0 x . (4) Separation of variables gives ± s k m x 2 0 Z t 0 dt 0 = ± s k m x 2 0 t = Z x x
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Unformatted text preview: dx x q x 2-x 2 = q x 2-x 2 . (5) Therefore, the solution is x ( t ) = s k m x 2 t 2 + x 2 . (6) 1...
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This note was uploaded on 12/11/2011 for the course PHY 4936 taught by Professor Berg during the Fall '11 term at FSU.

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