Location: Weniger 212, the Paradigms Studio Classroom
Meeting Times: MWF 1300-1350, TR 1200-1350
[7 lecture hours per week]

 Winter 2019 Instructor: Matt Graham (web) Email: graham --AT-- physics.oregonstate.edu Phone: 541.737.4386 Office Hours: M,W 2-3 (or by apt.) in 375 Weniger Math Methods Interlude: Corinne Manogue Course TAs: Jonathan Alfson Emails: --AT--onid.oregonstate.edu Office Hours: 304F, Wed 3-4 & Fri 2-3pm Course LA: John Waczak Office Hours: 304 F, Wed & Fri 12-1pm in 304F

2/11/19- Thank you for all your hard-work this term. On to the next Paradigm in Physics. Onward and upward! [Course materials removed, available unpon request]
Link to PH424 official syllabus Please note there is no required textbook purchase for the class this year. Reference will be made to H. Georgi, 2nd Edition Free Online Text; Physics of Waves
Our class covers aspects of Chapters, 1-2, 5-9 (references will be provided). Math Methods will use Manogue: Linear Algebra, Online Paradigms Text

.....

Check back often (click RELOAD). Schedule is tentative and course notes/links will be updated daily.

Problem sets Additional Resources & Video Aids

M1:

Introduction to Oscillations
ODEs of physical systems
Representations of simple harmonic motion
o Sines, cosines, phases, and complex numbers
o Oscillations and differential equations

G: 1.1-1.2, 1.4
Sections 6.1,6.6: ODE Review

Harmonic motion simulator

Mass-spring harmonic animation

T1:

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

Damped oscillations
LC circuit (PhET) .jar

G: 1.2, 1.6-1.7
T 5.1 - 5.4

Oscillations in circuits: What is an inductor? PhET video
(Inductors and Capacitors and LC Circuits)

The LC circuit, an electrical engineeer's description: audio PhET lecture, LC oscillations Optional advanced reading on the physical pendulum.

W1:

Damped harmonic system.

G: 1.6-1.7, 2.1
Resonance: mechanical resonance, and circuit resonance. Both are governed by essientially the same differential equation

R1:

Driven harmonic system.

Forced motion of a damped oscillator
o Forced oscillations & resonance (theory)

G: 1.6-1.7, 2.1-2.2

Q: You're driving a 15 cm long bob pendulum with sinusoidal driving source of constant AC voltage. At what driving frequency will the pendulum amplitude be the greatest? (sketch the phase and amplitude dependence)
See driven pendulums. and springs videos.

F1:

o Harmonic response of LRC series circuit
(predictions for lab)

LRC Circuit Resonance Instructions

G: 2.1-2.3
T 5.5-5.7

Web-link, Can you explain the result? Light-bulb ON= LRC Circuit Resonance

Short quiz: material up to Q-factor

M2:

Forced motion of a damped oscillator
o Solution for a damped driven SHO (mechanical or LCR circuit)

G: 2.1-2.4

LC Circuits

T2:

Circuit Resonance Lab & Data Discussion

G: 2.2-2.4
LRC Report Rubric

LRC Lab Equipment List
LRC Lab: sample excel data work-up template
(optional rough guide)
(optional rough guide only)

W2:

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

Peer Review of results I (print out lab graphs, bring to class)

Group activity: Response to 3 sine drivers worksheet + 3 exam style exercises

G: 2.2-2.4, 5.6   Optional: Mathematica workbook to calculate theory LRC response

R2:

Oscillations in circuit(PhET) .jar
worksheet + 3 exam style exercises
notes on answers (see slides too)

-LRC Circuit "Tug-of-War" Challenge

-Peer Review of results II (slide deck not online)
(print out lab graphs, bring to class)
Optional: More peer review F@4pm in 304F.

G: 2.2-2.4, 5.6

F2:

Math Methods A
: ODEs

Linear Algebra
Sections 6.5-6.8, ODE

M3:

MLK DAY

T3:

Math Methods B: ODE

Linear Algebra

Fourier series generating PhET applet: (.jar)
Mathematica exercise (.nb)

W3:

Math Methods C: Fourier Series

Linear Algebra

R3:

Peer Review discussion.
Intro to Wave Mechanics
Fourier Circuits and Waves

G: 8.1

F3:

Waves on string simulation (PhET )
Taveling vs. standing wave animation (.nb )
Reflection and transmission coefficients
Non dispersive wave equation

G: 8.2 (op. 8.3)
G: Ch. 9.1

Animation: longitudinal vs. transverse waves

Tansverse waves video.

M4:

Reflection and transmission coefficients

G: 5.6, 9.2
Wave Propagation Lab Instructions

Video: Electronic propagation speed
Video: Transmission line reflections
Lab Resources:
Coax cable parameters

T4:

Lab & Discussion: Coax Cable Lab Workshop
[notes 17- these will coverd next week]

Video: Transmission line AC impedance

W4:

Reflection and transmission coefficients

R4:

Math Methods D: Vector Spaces, Separation of Variables, PDEs

Read chapter 9, 9.1-9.4 Linear Algebra
notes 19

F4:

Math Methods E: Vector Spaces, Separation of Variables, PDEs

Read chapter 9, 9.1-9.4 Linear Algebra

M5:

Wave Propagation & Attenuation

G: 5.6, 9.2

Alternative coax impedance derivation

T5:

Transmission Line PDEs
Lab data: Peer Review Session on Data Presentation
Dispersive waves
Mathematica: damping reflections (.nb )

G: 8.4   Highly recommended optional reading:
EM Wave Equation (you are not responsible for this content, but this equation maps directly to the coaxial cable PDE)

W5:

Wave Propagation PDEs
Waves on string simulation (PhET )

Editorial Response 1

R5:

Wave Propagation
Waves Standing Wave Excel file (.xlsx )
Short Quiz
Kinetic, potential energy density

G: 8.2

Standing Wave Demo
Optional: Mathematica KE, PE wave animation (.nb )

F5:

Interactive Review session for PH424

Summary of SHOs:
table of oscillations
Osc & Waves Physics GRE Flashcards
M6 Final Exam, 7-9 pm Rm: 212 and 304

## Tentative course calendar:

 ~ Jan & Feb 2019 ~ Mon Tue Wed Thu Fri 7 Simple Harmonic Motion - 4 representations 8 - Free motion of an oscillator -Free damped oscillations 9 -PS 1a due -driven SHM and circuits 10 Admittance, Impedance, phase shifts. 11 -PS 1b due Forced motion of a damped oscillator LCR circuit resonance 14 Forced motion & resonances 15 Lab & Discussion: the LCR circuit 16 -PS 2a due Lab Data Workshop. Multiple Driving Frequencies & Superposition 17 Lab data workshop/ presentation 18 -PS 2b due [Math Methods] 21 Martin Luther King Day 22 [Math Methods] 23 [Math Methods] Formal LRC  Manuscript Report Due 24 Intro to Wave Mechanics ABCD forms 25 Demo lab. Wave Equation Fourier Solutions -PS3 due 28 Pre-Lab -Wave phenomena,  demo lab -Reflection & Transmission 29 Workshop & discussion: Coax Cable Lab Workshop 30 -PS 4a due -Reflection & Transmission 31 [Math Methods] Wave propagation & attenuation 1 -PS4b due [Math Methods] 4 [Math Methods] Labs Data Peer Review, Abstract Writing Workshop 5 Wave Propagation Lab data: Peer Review Session Interactive Coax workshop & discovery lab 6 -PS5a due Waves on string simulation (PhET ) Dispersive waves Coax Cable formal abstract due 7 Wave Energy: kinetic vs. potential ennergy density 8 -PS5b due Paradigms 424 Review 11 FINAL EXAM, 7-9 pm PH427 begins 12 13 14 15