﻿ Oscillations & Waves -- PH424 Location: ONLINE video from the Paradigms Studio
Meeting Times: Asynchronous delivery ~7 hrs per week. You will be asked to meet online during the T, Th 12h00-13h50 window.

 Spring 2020 Instructor: Matt Graham (web) Email: graham --AT-- physics.oregonstate.edu Phone: 541.737.4386 Math Methods Interlude: Corinne Manogue Course TA: George W. Mattson Email: mattsong --AT--onid.oregonstate.edu Course LA: Alex Eisenhauer Course LA: Ryan Tollefsen

5/5- Thanks for all the excellent contributions. [Online course content is now removed, available upon request.]

Class Content Delivery Modes: [1] Video Library: 5-50 min .mp4 videos filmed in the Paradigm Studio linked belows (v) [a] Notes(n): make your own note from the videos! Terse instructor video-notes called 'g-notes' are provided as one helpful aid. [b] Slides Decks(s): slide decks reinforce and repeat much of the content in video. [2] Zoom-Workshops: Group-team workshops, one or two times per week. [3] Study Groups and Other Resources: these are in addition to office hours.

Press reload. Schedule is tentative and course notes/links will be updated daily.

Daily
Content
Items Covered Problem Sets & Reading
Optional Extra Resources & Video Aids

M1:

Introduction to Oscillations
ODEs of physical systems
Representations of SHM
o Using complex numbers, phases, etc.
o Oscillations and differential equations

Optional review of
complex numbers
G: 1.1-1.2, 1.4(review)
M: 8.1,8.6: ODE Review

Class Texts: [G]: Primary references: H. Georgi, 2nd Edition, Physics of Waves. Class covers aspects of Chapters, 1-2, 5.6, 7-9.
[M]: Math Methods use Manogue and Dray: Geometry of Linear Algebra, [EM] and [CM]: Access to Griffiths[EM] and Taylor[CM] (do NOT purchase for this class).

T1:

Free motion of an oscillator
o Newton's law for an oscillator
o SHO: solutions, initial conditions

[1st online ZOOM Workshop]

Complex number quiz (optional)
G: 1.2, 1.6-1.7
CM: 5.1 - 5.4(optional)

W1:

Pendulum, circuits and springs
ODE Review, Math Methods (Manogue)
Damped harmonic systems.

G: 1.6-1.7, 2.1

R1:

Damped harmonic systems.
Forced motion of a damped oscillator
o Forced oscillations & resonance

Optional Zoom-Workshop. RLC circuit simulation, have the app running on your computer.

G: 1.6-1.7, 2.1-2.2

F1:

Forced motion of a damped oscillator
o Harmonic response of LRC series circuit
ODE Review, Math Methods (Manogue)

G: 2.1-2.3
T 5.5-5.7
PS#1b due

M2:

o Impedance, admittance, phase shifts analysis
o Solution for a damped, driven SHO (mechanical and LCR circuit)

LRC Circuit Lab Instructions
G: 2.1-2.4

T2:

Circuit Resonance Investigation

Optional Zoom-Workshop.

G: 2.2-2.4
LRC Report Rubric

Manuscript Tips, Ideas, Guidelines

W2:

Forced motion of a damped oscillator
o Resonance, high and low frequency behavior. Radios.

G: 2.2-2.4, 5.6
PS#2a due

R2:

Required Zoom-Workshop.
Peer Review of results II

G: 2.2-2.4, 5.6

F2:

Review of materials
-RC circuit, Lorentz model extension
Lab Guidance

PS#2b due

M3:

Math Methods A: Vector Spaces

T3:

Math Methods B,see module

W3:

Math Methods C:
Fourier series

M: Fourier Series
Lab Manuscript Due
10 pm
Fourier series generating PhET applet: (.jar)
R3:

Fourier Workshop, the FFT Demo Implusle lab
Optional Zoom: all teams at 12pm

Fourier Circuits and Waves

G: 8.1
LRC Impulse Demo Instructions

Mathematica: Triangle & Square Wave Fourier Series

Fourier Methods Tip & Tricks (option extension for Zoom FFT workshop)

F3:

Intro to Wave Mechanics
Waves on string simulation (PhET )
Reflection and transmission coefficients
Non dispersive wave equation

PS3 Due

G: 8.2 (optional. 8.3)
G: 9.1

Web-link of the day: optional deeper perspective on Fourier Series using phasor diagrams

Animation: longitudinal vs. transverse waves
Tansverse waves video.

M4:

Reflection and transmission coefficients

An alternate solution route for 4a2

G: 5.6, 9.2
Wave Propagation Lab Instructions

T4:

Lab & Discussion: Coax Cable Lab Workshop
Required Zoom[data collection]

Video: Transmission line AC impedance
Lab Resources: Coax cable parameters

W4:

Reflection and transmission coefficients - voltage waves

PS4a Due

Video: Transmission line(2nd part) reflections

R4:

Math Methods D: Separation of Variables, PDEs

module D

(M) Ch. 11

F4:

Math Methods E: Separation of Variables, PDEs Sturm Liouville
PDE Classification, updated

PS4b Due

M5:

Wave Propagation PDEs

Waves on string simulation (PhET )

T5:

Standing Wave Lab
Excel file

G: 8.4
Standing wave demo lab

Standing waves (.nb )

W5:

Transmission Line PDEs
Wave Propagation & Attenuation

PS5a Due

EM Wave Equation (optional look ahead)
Alternative coax impedance derivation

Optional: Transmission line PDEs from Eindhoven (the engineering way)

R5:

Wave Propagation & Attenuation
Wave Propagation and energy

Regular lecture + Zoom lecture

G: 8.2

Mathematica: damping reflections (.nb )
Tri Wave Animation (.nb)

F5:

Review session for PH424

PS5b Due

M6:
Final Exam
7pm

## Tentative course calendar:

 ~ March to May 2020 ~ Mon Tue Wed Thu Fri 30 Simple Harmonic Motion - 4 representations 30 - Free motion of an oscillator -Free damped oscillations 1 -PS 1a due -driven SHM and circuits 2 Admittance, Impedance, phase shifts. 3 -PS 1b due Forced motion of a damped oscillator LCR circuit resonance 6 Forced motion & resonances 7 Lab Discussion: the LCR circuit 8 -PS 2a due Lab Data Workshop. Multiple Driving Frequencies & Superposition 9 Lab data workshop/ presentation 10 -PS 2b due 13 [Math Methods] 14 [Math Methods] 15 [Math Methods] Formal LRC  Manuscript Report Due 16 Intro to Wave Mechanics ABCD forms 17 Demo lab. Wave Equation Fourier Solutions -PS3 due 20 Pre-Lab -Wave phenomena,  demo lab -Reflection & Transmission 21 Workshop & discussion: Coax Cable Lab Workshop 22 -PS 4a due -Reflection & Transmission 23 [Math Methods] 24 -PS4b due [Math Methods] 27 Standing Waves 28 Wave Propagation 29 -PS5a due Waves on string simulation 30 Wave Energy: kinetic vs. potential ennergy density 1 -PS5b due Paradigms 424 Review 4 FINAL EXAM 7-9:30 pm PH427 begins 5 6 7 8