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Oscillations and Waves PHY255F

Oscillations and Waves PHY255F. Robin Marjoribanks McLennan Physics 1104C marj@physics.utoronto.ca. What makes this course important?. Vibrations, oscillations and waves appear in obvious and not-obvious places

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Oscillations and Waves PHY255F

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  1. Oscillations and WavesPHY255F Robin Marjoribanks McLennan Physics 1104C marj@physics.utoronto.ca

  2. What makes this course important? • Vibrations, oscillations and waves appear in obvious and not-obvious places • they have an enormous impact on understanding how things work in astrophysics, thermal physics, quantum mechanics, optics, condensed-matter physics, mechanics, atmospheric and planetary physics, etc., etc. • so it’s a basic literacy in physics

  3. Obvious oscillations • water waves • pendulums • stop sign in a strong wind • earthquakes • car springs, shock absorbers • surface of cup of coffee dragged on table

  4. Oscillations of a bridge

  5. Less-obvious oscillations • musical instruments • guitar, piano; oboe, flute • suspension bridges • lasers • quartz-crystal electronic watches • radio antennae • fiber optics • car mufflers

  6. Music • same note, different timbre -- why? recorder harmonica

  7. Subtle oscillations • heat in a solid • structure of an atom • superconductivity • heat radiation • ozone protection • rings of Saturn • quantum mechanical zero-point energy • particles in string theory

  8. Rings of Saturn • Saturn’s rings have substructure, including bands, gaps and radial spokes...

  9. Topics • phasor notation • free, damped and forced harmonic oscillations • resonance • AC circuits • coupled oscillators • normal modes • travelling waves • wave equation, impedance • transverse and longitudinal waves • flow of energy in waves • reflection and transmission at interfaces • group and phase velocity • dispersion • Fourier series and Fourier transforms

  10. Approach • multiple resources • textbook • lectures • tutorials • office hours (professor & TA) • other texts • laboratory PHY225H • all are needed • each has particular advantages

  11. Lectures • will concentrate on what lectures do best • won’t just lead you through the textbook • will provide interaction and feedback that books cannot • will provide demonstrations and animations • lectures will depend on you having read ahead also

  12. Textbook • The Physics of Vibrations and Waves, (Sixth Edition), by H.J. Pain (Wiley, 2005) • 5th ed. used in past; try to find used? • available from Amazon.com

  13. i-Clickers • we’ll be using the classroom response system ‘i-Clickers’ • I’ll ask a multiple-choice question, and be able to poll your responses • you’ll be able to see the class’s response • these are available at the Bookstore, like textbooks

  14. Contact • emails will be sent to your registered U of T email address • may include problem set info, corrections, class cancellation, room changes, etc. • you’re responsible to check often

  15. Good extra resource • “Vibrations and Waves”, A.P. French • also used last year; try to find used • available from Amazon.com • this book is simpler, sometimes better for an introduction • is relatively ‘lite’ compared to Pain

  16. Tutorials • TA: Jean-Sébastien Bernier • Mondays 10am, MP134 • Tuesdays 10am MP137 • solve example questions • review problem-set solutions • question-and-answer

  17. Office Hours • Professor Marjoribanks • Wednesdays 4–5 pm (OK?) • MP1104C • TA: J-S Bernier • for questions about marking, his office times/day to be determined in tutorial • other questions, please ask in tutorial (or my class office hours)

  18. Problem sets • Problem set due dates • Wed. 3 October • Wed. 17 October • Friday 9 November • Friday 23 November • Friday 7 December (firm deadline, no extensions) • please hand in to the marker’s drop-box directly • solutions posted on course web-site • late policy: 25% off per day for three days • zero, once solutions are posted (~3 days after)

  19. Marking scheme • Term work: • 5 problems 25% • term test 25% • Final exam • final exam 50% • Total: 100%

  20. Comments on texts • The Physics of Vibrations and Waves, H.J. Pain • style is clear but not flowery, not too conversational • gets on with the subject matter • covers course material + numerous important Qs • supply of problems to solve is excellent • book is a ‘keeper’ as useful reference even afterwards • Vibrations and Waves, A.P. French • more conversational text • somewhat less rigorous in its structure • I find it less useful in learning the physics • has been a reliable teaching tool for long time, • if you have problems with Pain’s style, try French

  21. Midterm test – only impossibles

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