s11f1028

s11f1028 - ADVANCED DYNAMICS PHY 4936 Solution 28: x + 1 x...

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ADVANCED DYNAMICS — PHY 4936 Solution 28: ¨ x + ω 1 x = 0 , ¨ y + ω 1 y = 0 , Solution with x 0 = y 0 = 0; x ( t ) = A 1 sin( ω 1 t ) y ( t ) = A 2 sin( ω 2 t ) Now, x ( t 1 ) = y ( t 1 ) = 0 for some future time t 1 > 0 implies ω 1 t 1 = n π , ω 2 t 1 = m π (1) with n , m
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