lecture20_notes - • Doing this with muscles alone would...

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The mechanical energy of a damped harmonic oscillator decays by a factor of 4 in 10 s . How long does it take to decay by a factor of 16 ? A. 10 s B. 20 s C. 40 s D. 80 s E. 160 s
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Harmonic Oscillator: m k = 0 ϖ T=2 π / o
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m k m b m k - = 2 2 4 ϖ b m = τ time decay Energy Damped Harmonic Oscillator: ) / ( ) ( m bt m e x t x 2 - =
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Resonance and Driven Oscillations in Animal Movement
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Problem: Nature didn’t invent the wheel • Animal motion requires that parts of the animal speed up and slow down, with a corresponding variation in kinetic energy.
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Unformatted text preview: • Doing this with muscles alone would waste too much energy. Solution: • Use springs ( tendons, ligaments, muscles ) to convert kinetic energy to and from elastic potential energy . • Drive the system near its resonant frequency to get the maximum motion for a given energy input. A Wallaby Hopping: A Human Running: An Insect Flying: A Dog Panting: A Dog Panting: m ∝ L 3 , k ∝ A/L ∝ L ∴ T=2 π (m/k) 1/2 ⇒ T ∝ L ∝ size of dog L...
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This note was uploaded on 02/20/2008 for the course PHYS 2207 taught by Professor Liepe, m during the Fall '07 term at Cornell University (Engineering School).

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lecture20_notes - • Doing this with muscles alone would...

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