Lecture 14 - Harmonic Motion

Lecture 14 - Harmonic Motion - 2 unstable! kx kx = -( 29 (...

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Harmonic Motion
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2 2 2 Spring Solution cos sin 2 1 d x k x dt m x A t B t k m T f T ϖ π = - = + = = =
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( 29 2 2 2 2 Pendulum sin d m L mg dt d g dt L g L φ ϖ = - = - =
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( 29 0 0 2 2 0 kx mg F k x x mg kx d x m kx dt - = = - - = - = - Why did not cancel for the spring? m
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( 29 ( 29 2 2 2 2 2 2 Energy 1 1 1 2 2 2 1 1 sin cos 2 2 1 2 kB mv kx m B t k B t k m B m ϖ φϖ = + = - + =
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2 2 1 Potential energy = 2 1 If potential energy
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Unformatted text preview: 2 unstable! kx kx = -( 29 ( 29 2 2 2 2 1 2! 1 2 du d u u x u x x dx dx kx = + + + = L...
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Lecture 14 - Harmonic Motion - 2 unstable! kx kx = -( 29 (...

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