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Adapted from: webphysics.davidson/physlet_resources/bu_semester1/c19_damped_sim.html

UMBC – Physics Department Prof. J. Vanderlei Martins PHYS 224 – Oscillations and Waves Additional Material Showed in Class:. Ae -(b/2m) t. Adapted from: http://webphysics.davidson.edu/physlet_resources/bu_semester1/c19_damped_sim.html. Over Damping. Critical Damping. Under Damping.

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Adapted from: webphysics.davidson/physlet_resources/bu_semester1/c19_damped_sim.html

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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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