Loction: Weniger 212, the Paradigms Studio Classroom
Meeting Times: MWF 1300-1350, TR 1200-1350

 Winter 2018 Instructor: Matt Graham (web) Email: graham --AT-- physics.oregonstate.edu Phone: 541.737.4386 Office Hours: M,W 2-3 (or by apt.) 375 Weniger Math Methods Instructor: Dr. Paul Emigh Course TAs: MacKenzie Lenz & Jonathon van Schneck Emails: lenzm--AT--onid.oregonstate.edu, vanschej--AT--onid.oregonstate.edu Office Hours: 304F, Wed & Fri 2-3pm Course LA: Ian Founds [foundsi--AT--oregonstate.edu] Office Hours: 304 F, Wed & Fri 12-1pm in 304F

2/20/18- Thank you for your all hard-work this term. [course materials removed but available upon request]
2/12/18- Course Exam tonight. Manuscripts and editorial response letters returned in class.
2/9/18 - Final site updates. Review materials and solution posted. Available anytime in 375 (includeing weekends for pre-exam help/quesitons).
.....

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

Class Notes Items Covered Text Reading

M1:

Introduction to Oscillations
Homogeneous ODEs of physical systems
Representations of simple harmonic motion
o Sines and cosines
o Oscillations and Differential equations

M 1.1, 2.1, 2.5
Required Review: Sections 1,5-8
ODEs
Optional Review:
complex numbers

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

M 1.1
T 5.1 - 5.4

What is an inductor? PhET video
(Inductors and Capacitors --> LC Circuits)

The LC circuit, an electrical engineeer's description: audio PhET lecture, LC oscillations

W1:

Damped & driven systems harmonic system. Admittance & Phase.

Resonances: mechanical resonance, and circuit resonance. Both are governed by essientially the same differential equation

R1:

Circuit Resonance Lab & Data Discussion

M 1.2; T 2.6, 5.2

M 3.1, 3.2, 3.3, 4.1
T 5.4

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

LRC Lab Equipment List

(optional rough guide only)

F1:

Forced motion of a damped oscillator
o Forced oscillations & resonance (theory)
o Harmonic response of LRC series circuit (lab and analysis)

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

M 5.1, 6.1
T 5.5

M2:

MLK Day

T2:

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

Oscillations in circuit(PhET) .jar
-LRC Circuit "Tug-of-Tar" Challenge
-Peer Review of results II
(print out lab graphs, bring to class)

T 5.5, 5.6

M 5.1, 11.1
T 5.7

Web-link: Light-bulb ON= LRC Circuit Resonance
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.

W2:

Forced motion of a damped oscillator
o Resonance, high and low frequency behavior. Oscillations in circuit(PhET) .jar

Group activity: Response to 3 sine drivers worksheet + 3 exam style worksheet exercises (solutions in slides)

Optional reading: Lorentz Oscillator Model, damped driven oscillator approx well both the spectrum of light absorption and refraction

Q: Can you explain the physics of how this radio works? (w/equations)

A: Qualitative physical explaination of a radio. You now know how to derive all the equations necessary to make this "hand-wavy" explaination of radio, rigorous

R2:

Math Methods A: Fourier Series
Fourier series generating PhET applet: (.jar)
Mathematica exercise (.nb)

F2:

Math Methods B: Fourier Series

M3:

Math Methods C: Vector Spaces & Fourier Transforms
Fourier analysis Superposition & Fourier analysis

The Fourier Transform

Fourier Transforms, what have we learned?
Mathematica: Triangle & Square Wave Fourier Series

T3:

Fast Fourier Methods
& Impulse Lab Workshop
o Lab: impulse data & FFT of square, triangle and sine waves

the FFT, Fast Fourier Transform
Response of the LRC series circuit to an impulse

A crash course & lab workshop in FTs and FFTs!

W3:

Math Methods D: Separation of Variables

Linear Algebra

R3:

Math Methods E: Separation of Variables|
Sturm-Liouville representation of the Wave Equation

F3:

Peer Review discussion.
Intro to Wave Mechanicss

Wave Equation Fourier Solutions

M 9.1, 9.3
G 9.1.1, 9.1.2

Animation: longitudinal vs. transverse waves

Tansverse waves video.

M4:

Non dispersive wave equation
Taveling vs. standing wave animation (.nb )
Heat equation animation (.nb )
Worksheet

M 9.0
G 9.1.1
T 16.1-16.3

Fourier Component Reconstruction of a Drawing
Optional supplemental reading on solving the wave equation:
Ch 2.1 to 2.2 (mathematica template)

T4:

Dispersion relation
Standing Wave Excel file (.xlsx )

Dispersive waves
Reflection & Transmission

M 9.2
G 9.1.3

Video: Travelling wave dispersion

W4:

Waves on string simulation (PhET )
Reflection and transmission of EM Waves

Pre-Lab

R4:

Impedance
Lab & Discussion: Coax Cable Lab Workshop

M 10.3

Video: Transmission line reflections
Lab Resources:
Coax cable parameters

F4:

Wave Propagation
Waves on string simulation (PhET )

M 10.3

Video: Electronic propagation speed

M5:

Wave Propagation

M 10.3

Alternative coax impedance derivation
T5:

Wave Propagation & Attenuation
Transmission Line PDEs
Short Quiz

Video: Transmission line AC impedance

W5:

Wave Propagation Attenuation & Energy
Lab data: Peer Review Session on Data Presentation
Quiz Review

M 9.4
M 11.1-11.3;

R5:

Attenuation Review
Energy Exercise
(.pdf )
Kinetic, potential energy density
Total energy and power
Mathematica: damping reflections (.nb )
Mathematica KE, PE wave animation (.nb )

M 9.4

F5:

Interactive Review session for PH424

Different types of SHOs: table of oscillations
Osc & Waves GRE Flashcards

Optional video link moving forward w/Fourier visualized

M6 Final Exam, 7-9 pm Rm: 212 and 304

Day 9 427

QM Scattering and Tunneling
Whiteboard notes exercise

Ref and Transmission (PhET )

McIntyre 6.4-6.5

Video link: QM barrier tunneling, with music, tunneling physics