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

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15.69: a) To show this relationship is valid, take the second time derivative: ], cos ) sin [( ) , ( SW 2 2 2 2 ωt kx A t t t x y = ] sin ) sin [( ) , ( SW 2 2 ωt kx A t ω t t x y - = [ ] , t cos ) sin ( t t) , ( sw 2 2 2 ω kx Α ω x y - = Q.E.D. ), , ( ) , ( 2 2 2 t x y ω t t x y - = The displacement of the harmonic oscillator is periodic in both time and space.
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Unformatted text preview: b) Yes, the travelling wave is also a solution of the wave equation....
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