Oscillations and Waves PHY 255 F Robin Marjoribanks

Oscillations and Waves PHY 255 F Robin Marjoribanks Mc. Lennan Physics 1104 C marj@physics. utoronto. ca

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. ©so it’s a basic literacy in physics

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

Oscillations of a bridge

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

Music ©same note, different timbre -- why? recorder harmonica

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

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

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

Approach ©multiple resources ©textbook ©lectures ©tutorials ©office hours (professor & TA) ©other texts ©laboratory PHY 225 H ©all are needed ©each has particular advantages

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

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

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

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

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

Tutorials ©TA: Jean-Sébastien Bernier ©Mondays 10 am, MP 134 ©Tuesdays 10 am MP 137 ©solve example questions ©review problem-set solutions ©question-and-answer

Office Hours ©Professor Marjoribanks ©Wednesdays 4– 5 pm (OK? ) ©MP 1104 C ©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)

Problem sets © Problem set due dates ©Wed. ©Friday 3 October 17 October 9 November 23 November 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)

Marking scheme ©Term work: © 5 problems ©term test 25% ©Final exam ©final exam

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

Midterm test – only impossibles Mon 22 Tues 23 Wed 24 tutorial PHY 255 F 3 -4 11 PHY 485 F 4 -5 20 7 5 -6 9 6 -7 Thurs 25 Fri 26 9 -10 10 -11 PHY 255 F 11 -12 12 -1 pm 1 -2 2 -3 PHY 485 F 5 12 Colloq. 7 8 9 6 √ 9 14 20 16 √ 7 -8 6 15 20 20 1 8 -9 5