1. PHY 711 Classical Mechanics and Mathematical Methods
11-11:50 AM MWF Olin 107
Plan for Lecture 15:
Start reading Chapter 7
Linear versus non-linear oscillators
Coupled motion of extended systems; relationship to continuum models & wave equation
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7. x
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12. Duffing oscillator -- continued Plot for w=2 A=1
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13. Returning to linear case; continuum limit --
Longitudinal versus transverse vibrations
Images from web page:
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14. Longitudinal case: a system of masses and springs:
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15. system parameter with units of (velocity)2
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16. Transverse displacement:
m(x,t) t
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