# PARADIGMS IN PHYSICS PH421/521: OSCILLATIONS

http://www.physics.oregonstate.edu/ph421
Last update: 4 November 2012

 General Information External Links Mathematica Writing Guide BlackBoard (grades, email, submit lab assignments) Paradigms home Instructor: Prof. Janet Tate WGR 485, 737-1700; tate at physics.oregonstate.edu OH M 2-3; W 2-3; F3-4 in Wgr 304F or 485; or by appt Teaching Assistant:Teal Pershing pershint at onid.orst.edu OH: Tu 2-3; Th 2-3; or by appt

Day
Room
Topic Reading
(required, recommended)
Homework Assignments Lab Assignments
M 11/5
Wngr 212
Energy diagrams and the period of motion
o Calculate period from dt/v
o Potential energy diagrams - harmonic oscillator
T 4.6
(TM 2.6)
Knight 10.7
HW1 assigned
Harmonic fns drill
Drill solution
Pendulum lab assigned
Pendulum Lab Instructions ; Pendulum Lab write-up instructions & rubric
T 11/6
Wngr 212
Energy diagrams and the period of motion
o Pendulum vs. harmonic oscillator
Pendulum Lab
o Pendulum lab data acquisition
o Pendulum lab data analysis & discussion
Pendulum Lab Instructions
Pendulum Lab write-up instructions & rubric

W 11/7
Wngr 212
Pendulum Lab - cont'd
o Class assessment: Data analysis
o Anharmonic oscillator Worksheet: Period of Pendulum ; period calculation
o Small and large angle period, motion
M 7.1
T 4.6
(TM 4.4, K 14.3, 14.6)
HW1-W problem 1,2 due 4pm Pendulum lab preliminary data due - upload to BB before class; bring hardcopy to class
Th 11/8
Wngr 212
Representations of simple harmonic motion
o Sines and cosines
o Complex numbers
o Euler's formula
M 1.1, 2.1, 2.5
T 5.1
(TM 3.1, 3.2)
(K 14.1-14.2)

F 11/9
Wngr 212
Free motion of an oscillator
o Newton's law for an oscillator
o SHO: solutions, period, initial conditions
M 1.2; T 2.6, 5.2
(RHB 3.2, 3.3)
(K 14.1-14.2)
(S 2.1)
HW1-F due, 4pm
REVISED HW1 solution
Error in #3 (C-form) corrected
Pendulum lab report due - upload to BB before midnight
M 11/12
Wngr 212
Free damped oscillations
o Free damped oscillations
M 3.1, 3.2, 3.3, 4.1
T 5.4

(TM 3.5)
(K 14.7)
HW2 assigned Harmonic LRC Lab assigned
Harmonic LRC Lab Instructions ; Harmonic LRC Lab Rubric
Tu 11/13
Wngr 212
Forced motion of a damped oscillator
o Forced oscillations & resonance (theory)
o Harmonic response of LRC series circuit (lab and analysis)
M 5.1, 6.1
T 5.5

(K 14.8) (TM 3.6, 3.7) (S 2.11)
LRC Lab Instructions

W 11/14
Wngr 212
Forced motion of a damped oscillator -cont'd
o Class discussion of results
o Impedance, admittance, phase shifts
HW2-W problems 1,2 due 4pm
Harmonic LRC lab preliminary data due - upload to BB before class; bring hardcopy to class
Th 11/15
Wngr 212
Forced motion of a damped oscillator -cont'd
o The LRC circuit
o Resonance, high and low frequency behavior
T 5.5, 5.6
(TM 3.5, 3.7-8)
(K 14.8)

F 11/16
Wngr 212
Oscillator response to multiple driving frquencies
o General force function & LRC response
o Group activity: Response to 3 sine drivers
M 5.1, 11.1
T 5.7
(TM 3.8)
RHB 12
HW 2 due 4pm
HW2 solution

M 11/19
Wngr 212
Fourier series
o Fourier series concept; Fourier guess worksheet
o Integrals of harmonic functions; harmonic integrals worksheet
M 11.1
T 5.7, 5.8
RHB 12
HW3 assigned
Kronecker delta drill
Drill solution

Tu 11/20
Wngr 212
Fourier series -cont'd
o Projections, harmonic functions as an orthonormal basis
Fourier coefficients
o Sawtooth example
M 11.1
T 5.7, 5.8
RHB 12

W 11/21
Wngr 212
Fourier coefficients - cont'd
o Further examples
HW3_W due 4pm
HW 3 Soln 1&2
Harmonic LRC lab report due - upload to BB by 7pm - submission remains open to midnight
Th 11/22
Wngr 212
Thanksgiving - no class

F 11/23
Wngr 212
Thanksgiving - no class

M 11/26
Wngr 212
The Fourier Transform
o Fourier transform as limit of a Fourier series
M 11.2-3
RHB 13.1

(TM 3.9)

T 11/27
Wngr 212
The Fourier Transform
o Fourier transform as limit of a Fourier series
o The square sine pulse
o The bandwidth theorem/uncertainty principle
Response of the LRC series circuit to an impulse
o Demo lab: impulse data
M 11.2-3
RHB 13.1

(TM 3.9)
HW3-F due 4pm
HW 3 Soln 3

W 11/28
Wngr 212
Loose ends & Review

Th 11/29
Wngr 212
Research in the PH department - and where to next?
Professional development session required for PH majors

F 11/29
Wngr 212
Optional Review/work session for PH421
T 12/4
Wngr 304 and 304F
Final exam 9:30-11:30am
Practice exam
Summary slides
Conceptual Questions
Final exam
Solution