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Oscillations and Waves PHY255F Robin Marjoribanks McLennan Physics 1104C

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1 Oscillations and Waves PHY255F 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-S é bastien 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 Friday7 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 problems25% term test25% Final exam final exam50% 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 Mon 22Tues 23Wed 24Thurs 25Fri 26 9-10 10-11tutorial PHY255F 11-12 12-1pm 1-2 2-3 3-411PHY485F 5 4-520712Colloq.7 5-69896√ 6-79142016√ 7-861520 1 8-95


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