Simple Harmonic Motion and Waves
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Transcript of Simple Harmonic Motion and Waves
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Simple Harmonic Motion and Waves
Lecture #2
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Air Resistance and Internal and External Friction Bring SHM to a stop.
Damped Harmonic Motion
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Damped Harmonic Motion
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Overdamped — Curve A—damping is so large it takes a LONG time to reach equil.
Underdamped —Curve C—the system makes several swings before coming to rest
Critical Damping —Curve B —equilibrium is reached the quickest
Damped Harmonic Motion
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Objects (matter) tends to vibration a certain natural frequency. (fo) (also known as resonant frequency)
Forced vibration occurs when a repeated external force is applied to a vibrating system that has its own particular frequency. ( f )
Forced Vibrations and Resonance
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Forced Vibrations and Resonance
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For a forced system, Amplitude depends on the difference between f and fo
Maximum amplitude is reached when f = fo
This can have some Stunning implications.
Forced Vibrations and Resonance
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Forced Vibrations and Resonance
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Wave Motion
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Particle Velocity – the particles oscillate about a fixed point
Wave Velocity – the velocity of the wave is in the direction of the wave
Wave Motion
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Pulse – one bump Continuous Wave – wave from a source that
is oscillating
Wave Motion - Terms
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Transverse – Particle Motion is perpendicular to Wave Motion
Longitudinal – Particle Motion is parallel to Wave Motion
Wave Motion - Types
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MISCONCEPTION ALERT In BOTH types of waves, the particle
oscillates about a point.
Wave Motion - Types
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Wave Motion – critical formulas Wave Velocity = wavelength multiplied by
the frequency
T is often easier to find. T = 1/f
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Velocity of a wave in a “string” is equal to the square root of:
The tension force in the string divided by the mass over length (not density)
Wave Motion - critical formulas