1 / 19

Exploring Waves & Oscillations: Interactions & Applications

Delve into oscillations and waves, from interacting pulses to superposition phenomena. Learn about Lissajous figures, small angle pendulum approximations, and the significance of waves in various phenomena. Compare exact solutions to approximations and discover the key role of waves in everyday occurrences.

pepin
Download Presentation

Exploring Waves & Oscillations: Interactions & Applications

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. PHYS 224 - Introductory Physics III - Spring 2008Prof. J. Vanderlei MartinsUMBC Department of Physics

  2. Oscillations and Wavesfrom: http://www.maths.gla.ac.uk/~fhg/waves/waves1.html

  3. Interacting Pulsesfrom: http://www.maths.gla.ac.uk/~fhg/waves/waves1.html

  4. Interacting Pulses – same direction from: http://www.maths.gla.ac.uk/~fhg/waves/waves1.html

  5. Adding Traveling Waves from: http://www.maths.gla.ac.uk/~fhg/waves/waves1.html

  6. Adding Traveling Waves from: http://www.maths.gla.ac.uk/~fhg/waves/waves1.html

  7. Superposition of Simple Harmonic MotionBeat: Results from adding two harmonic oscillations with similar frequencies. Beat http://www.kettering.edu/~drussell/Demos/superposition/superposition.html

  8. Lissajous Figures: Number of tangents in each axes provides information on the period ratio Figure Credit: http://en.wikipedia.org/wiki/Lissajous_curve

  9. Simple Pendulum Small angle approximation: sin(q) ~ qHow small is small? qo = 15dg qo = 60dg http://www.kettering.edu/~drussell/Demos/Pendulum/Pendula.html

  10. Solutions: Exact: Fq = -mg•sin(q) Approximation: Fq = -mg•q

  11. Comparing Solutions: Up to ~15 degrees initial displacement, the small angle approximation holds well and even after several oscillations the approximate solution compares well with the “exact” solution. For larger angles (e.g. the 60 dgs shown in the simulation, the approximate solution diverges quickly from the “exact” result. Check the link below for simulations: http://www.kettering.edu/~drussell/Demos/Pendulum/Pendula.html

  12. Waves are the key to sound, color, and much more: • Rainbow • Sunglint • Tsnunamis • Earthquakes • Cel Phone signals • Microwave ovens • Musical Instruments • …

  13. Rainbow Physics http://hyperphysics.phy-astr.gsu.edu/hbase/atmos/raibowcon.html#c1

  14. Cloud Rainbow observed from space:F-M. Breon, P. Goloub, 1998.

  15. The Sunglint • What is its connection with oscillations and waves?

  16. Sunglint:Windy and Polluted Day Picture by Yoram Kaufman

  17. Sunglint:“Calm and Clean” Day Picture by Yoram Kaufman

  18. http://deathstar.rutgers.edu/projects/viewnj/pages/STS066-150-074.htmhttp://deathstar.rutgers.edu/projects/viewnj/pages/STS066-150-074.htm

More Related