math hw 6

# math hw 6 - 9 8 7 6 5 4 3 2 1 wave number 1 2 3 4 5 6 7 the...

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1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 the square root of the spring constant wave number With increasing odd spring constants, the dominant wave number increases logarithmically (which appears linearly when we graph the square root of the spring constant). The even square roots of spring constants all have a dominant wave number of 1. With larger spring constants, the most dominant wave number is found deeper within the system. B1 c = .01 The ratio of the top two amplitudes is 19.2 c = .02 The ratio of the top two amplitudes is 9.6 c = .03 The ratio of the top two amplitudes is 6.4 c = .04 The ratio of the top two amplitudes is 4.8 c = .05 The ratio of the top two amplitudes is 3.84

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1 1.5 2 2.5 3 3.5 4 4.5 5 2 4 6 8 10 12 14 16 18 20 c*100 ratio of the top two amplitudes As the damping constant increases linearly, the ratio of the highest two amplitudes
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math hw 6 - 9 8 7 6 5 4 3 2 1 wave number 1 2 3 4 5 6 7 the...

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