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
Problem sets Comments & Additional Resources

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

 

Video: damped oscillatory motion

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

LRC Lab: possibly helpful tables
(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

 

Optional: Mathematica workbook to calculate theoretical LRC response

 

M2:


MLK Day


   

T2:

Forced motion of a damped oscillator
o Impedance, admittance, phase shifts
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)

Read chapter 7, Linear Algebra

 

   

F2:

Math Methods B: Fourier Series



   

M3:

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

The Fourier Transform

Read chapter 5, Linear Algebra


  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

Editorial Response Letter #1

 

A crash course & lab workshop in FTs and FFTs!

Video of the day: sine waves vs. square waves, Fourier Series; sqaure, sawtooth, and triangle, Fourier Spectrum Analysis of a Song , Fourier Spectrum Analysis of a Song II

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

W3:

Math Methods D: Separation of Variables

Read chapter 9,
Linear Algebra

   
R3:

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

Read chapter 9, Linear Algebra

   

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

 

 

 

Video link: Power of Resonances

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

Video link: QM barrier scattering

Video application link: STM, scanning tunneling micrsccopy

Tentative course calendar:

~ Jan & Feb 2018 ~

Mon

Tue

Wed

Thu

Fri

8
Simple Harmonic Motion
- 4 osc. representations

9
- Free motion of an oscillator
-Free damped oscillations

10

-PS1a due

-driven SHM and circuits

11

Lab & Discussion: the LCR circuit

12

-PS1b due

Forced motion of a damped oscillator
LCR circuit resonance

15
-------------

Martin Luther King Day

16
Forced motion & resonances
data workshop /presentation

17
-PS2a due
Impedance, admittance, phase shifts
Forced motion & resonances
Multiple Driving Frequencies & Superposition

18

(Math Methods)

19

(Math Methods)

Formal LRC Manuscript Due


22
(Math Methods)

23
 Fourier Methods
& Impulse LRC Circuit Workshop


- Fourier & Fast transform

24
(Math Methods)

-PS3a due

Upload Data

25
(Math Methods)

26
-PS3b due
 Intro to Wave Mechanics

29
Intro to Wave Mechanics
Wave Equation Fourier Solutions

30
-Non dispersive wave equation
-Wave phenomena, dispersion demo lab
-Reflection & Transmission

31

-PS4a due
Pre-Lab
-Reflection & Transmission

1
Workshop & discussion: Coax Cable Lab Workshop

2
Propagation & attenuation

Fourier LRC Manuscript Due

5
Waves on string simulation (PhET )
Dispersive waves
Upload Data to Canvas

6
Wave Propagation
Lab data: Peer Review Session Coax cable data workshop

7
-PS5a due

Wave Propagation & Attenuation

 

8
Wave Energy
Kinetic, potential energy density
Total energy

9
-PS5b due
Paradigms 424 Review

12

FINAL EXAM, 7-9 pm
13 14 15 16