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Simple Harmonic Motion and Waves

Simple Harmonic Motion and Waves. Lecture #2. Damped Harmonic Motion. Air Resistance and Internal and External Friction Bring SHM to a stop. Damped Harmonic Motion. Damped Harmonic Motion. Overdamped — Curve A—damping is so large it takes a LONG time to reach equil .

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Simple Harmonic Motion and Waves

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  1. Simple Harmonic Motion and Waves Lecture #2

  2. Damped Harmonic Motion Air Resistance and Internal and External Friction Bring SHM to a stop.

  3. Damped Harmonic Motion

  4. Damped Harmonic Motion • 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 • CriticalDamping — Curve B —equilibrium is reached the quickest

  5. Forced Vibrations and Resonance • 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 )

  6. Forced Vibrations and Resonance

  7. Forced Vibrations and Resonance • 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.

  8. Forced Vibrations and Resonance

  9. Wave Motion

  10. Wave Motion • Particle Velocity – the particles oscillate about a fixed point • Wave Velocity – the velocity of the wave is in the direction of the wave

  11. Wave Motion - Terms • Pulse – one bump • Continuous Wave – wave from a source that is oscillating

  12. Wave Motion - Types • Transverse – Particle Motion is perpendicular to Wave Motion • Longitudinal – Particle Motion is parallel to Wave Motion

  13. Wave Motion - Types • MISCONCEPTION ALERT • In BOTH types of waves, the particle oscillates about a point.

  14. Wave Motion – critical formulas • Wave Velocity = wavelength multiplied by the frequency • T is often easier to find. T = 1/f

  15. Wave Motion - critical formulas • 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)

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