problem13_78

University Physics with Modern Physics with Mastering Physics (11th Edition)

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13.78: a) . 4 0 0 4 3 = = - = x x x c dx x c dx F U a) From conservation of energy, , ) ( 4 4 4 2 2 1 x A mv c - = and using the technique of Problem 13.77, the separated equation is . 2 4 4 dt m c x A dx = - Integrating from 0 to A with respect to x and from 0 to 4 T with respect to , t = - A T m c x A dx 0 4 4 . 4 2 To use the hint, let , A x u = so that du a dx = and the upper limit of the
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Unformatted text preview: -u integral is . 1 = u Factoring 2 A out of the square root, , 32 31 . 1 1 1 1 4 ∫ = =-T m c A u du A which may be expressed as . 41 . 7 c m A T = c) The period does depend on amplitude, and the motion is not simple harmonic....
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  • Energy, 2m, 32m

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