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Oscillations and Waves

Explore the complexities of oscillations and waves with examples of damping, coupled oscillators, and normal modes. Visualize different modes of oscillation in strings and interacting pulses. Learn about over-damping, critical damping, under-damping, and no damping scenarios.

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Oscillations and Waves

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  1. UMBC – Physics DepartmentProf. J. Vanderlei MartinsPHYS 224 – Oscillations and WavesAdditional Material Showed in Class:

  2. Ae-(b/2m) t Adapted from: http://webphysics.davidson.edu/physlet_resources/bu_semester1/c19_damped_sim.html

  3. Over Damping Critical Damping Under Damping No Damping Adapted from: http://webphysics.davidson.edu/physlet_resources/bu_semester1/c19_damped_sim.html

  4. Coupled Oscillators and Normal Modes :

  5. Superposition of normal modes of oscillation with different amplitudes can produce very complex oscillation patterns: This Example shows 8 normal modes of oscillation that where excited in a given string with different amplitudes Credit: http://www.calpoly.edu/~gepstein/NormalModes/

  6. Normal Modes of a String in a particular pattern of wave motion: • First eight contributing normal modes of string with fixed ends. • This is equivalent to two identical traveling waves moving in opposite directions. Credit: http://www.calpoly.edu/~gepstein/NormalModes/

  7. Normal Modes of a String in a particular pattern of wave motion: • First eight contributing normal modes of string with fixed ends. • This is equivalent to two identical traveling waves moving in opposite directions. Partial Sum of the 8 most important normal mode contributions: Credit: http://www.calpoly.edu/~gepstein/NormalModes/

  8. Interacting Pulses

  9. Interacting Pulses – same direction

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