PARADIGMS IN PHYSICS PH421/521: OSCILLATIONS
http://www.physics.oregonstate.edu /ph421

Syllabus for Fall 2009 - last update 11/02/09 (major)

General Information

Writing Guide

External Links

Blackboard  (grades, email)

 

 

 

Paradigms homepage

Instructor: Prof. Janet Tate
WGR 485, 737-1700; tate at physics.oregonstate.edu
OH: Tue 2:00 -3:00 (304F); Wed 11-12; Fri 11 - 12 (WGR 485) or by appointment

Teaching Assistant: Josh Russell
737-1720; russejos at onid.oregonstate.edu
OH: W 2-3 (304F); Th 3:30-4:30 or by appointment

 

Date
Room

Topics

Reading
(Required, Recommended)

Homework

M 10/19
W304

Energy diagrams and the period of motion

  • Calculate period from dt/v
  • Energy diagrams
  • Pendulum vs. harmonic oscillator

T 4.6
(TM 2.6)
Gi 8.9

HW 1 assigned

 

Tu 10/20
 W304

lab
W304F

   Pendulum Lab

  • Pendulum lab
    Small and large angle period
    Small angle motion
  • Pendulum lab data analysis

Pend Lab Instructions
Pend Lab Workbook

Worksheet: Period of Pendulum

elliptic_pend.mw

Pendulum Lab assigned
Power series drill
Drill solution

W 10/21
W304

Anharmonic oscillator

  • Calculation of period for real pendulum

M 7.1
T 4.6
(TM 4.4)

 

Th 10/22
W304F

   Representations of Simple Harmonic Oscillations

  • Sines and cosines
  • Euler's formula
  • Complex representations

(and more period calculation)

 

M 1.1, 2.1, 2.5
T 5.1
(TM 3.1, 3.2)
Gi 14.3-14.6

Harmonic fns drill
Drill solution

 

F 10/23
W304

Free Motion of an Oscillator

  • Newton's law for an oscillator
  • SHO: solutions, period, initial conditions

M 1.2
T 2.6, 5.2
RHB 3.2, 3.3
Gi 14.1-14.2
S 2.1


Pendulum lab report due
Pendulum Period Soln

 

M 10/26
W304

Free Damped Oscillations

·                    Free damped oscillations

 

M 3.1, 3.2, 3.3, 4.1
T 5.4
(TM 3.5)
Gi 14.7-14.8

HW 1 due
HW 1 Soln

HW 2 assigned

Tu 10/27
W304

lab
W304F

Forced Oscillations of a Damped Oscillator

  • Forced oscillations & resonance (theory)
  • Harmonic response of LRC series circuit (lab and analysis)

M 5.1, 6.1
T 5.5
(TM 3.6, 3.7)
S 2.11

LRC Lab Handout

Harmonic LRC Lab assigned

W 10/28
W 304
  • Discussion of Lab
  • Impedance, admittance, phase shifts

 

 

 

Th 10/29
W 304

Forced Oscillations of a Damped Oscillator

  • The LRC circuit , low and high & resonant freq behavior

T 5.5, 5.6
(TM 3.5, 3.7-8)
Gi 31

 

F 10/30
W 304

LRC circuit & Response to multiple driving frequencies

  • General force function & LRC response (worksheet)

M 5.1, 11.1
T 5.7
(TM 3.8)
RHB 12

Harmonic LRC lab prelim report due

 

M 11/2
W 304

Fourier Series

M 11.1
T 5.7, 5.8
RHB 12

HW 2 Due
HW 2 Soln

HW 3 assigned

Kronecker delta drill
Drill solution

Tu 11/3
W304

Fourier Series

Projections, harmonic functions as an orthonormal basis

Fourier series sawtooth example

  • Fourier coefficients
  • Sawtooth example

(TM 3.9)
RHB 13.1

 

W 11/4
304F

Response of LRC circuit to periodic driver

  • Further examples

 

Hwk 3, Q1 and 2 due
HW 3 Soln

Th 11/5

The Fourier Series

  • Fourier transform as limit of a Fourier series
  • The square sine pulse
  • The bandwidth theorem/uncertainty principle

Response of the LRC series circuit to an impulse

  • Demo lab
  • Fourier transform as limit of a Fourier series
  • The square sine pulse (maybe)
  • The bandwidth theorem/uncertainty principle

M 11.2-3
RHB 13.1
(TM 3.9)

Harmonic LRC lab report due

 

F 11/6

Catch-up and review

 

HW 3, Q3 due
HW 3 Soln

M 11/9

WGR 304 & 304F

PH421/521 Final Exam 07:30 – 09:30

 


Practice Final