29. Damped Driven Oscillators - Galileo and Einstein

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The Damped Driven Oscillator

• If the driving frequency is far

from the natural frequency,

there is only a small

response, even with no

damping. Here the driving

frequency is about twice the

natural frequency.

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The Damped Driven Oscillator • If the driving frequency is far from the natural frequency, there is only a small response, even with no damping. Here the driving frequency is about twice the natural frequency.

The Damped Driven Oscillator • This shows the oscillator with the same strength of external driving force, but at its natural frequency. • The amplitude increases until damping energy losses equal external power input: this is resonance. • Spreadsheet link! • Tacoma Narrows Bridge.

Page 1 and 2: Damped and Driven Harmonic Motion M
Page 3 and 4: Underdamped Motion • The equation
Page 5 and 6: Underdamped Motion • Compare the
Page 7 and 8: Not So Underdamped Motion Even when
Page 9 and 10: • Doubling the damping beyond cri
Page 11: The Damped Driven Oscillator • We

29. Damped Driven Oscillators - Galileo and Einstein

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