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, 7371700; tate at physics.oregonstate.edu OH M 23; W 23; F34 in Wgr 304F or 485; or by appt 
Teaching Assistant:Teal Pershing pershint at onid.orst.edu OH: Tu 23; Th 23; 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 writeup 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 writeup 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) 
HW1W 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 14.114.2) 


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 14.114.2) (S 2.1) 
HW1F due, 4pm REVISED HW1 solution Error in #3 (Cform) 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 
HW2W 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, 3.78) (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 11.23 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 11.23 RHB 13.1 (TM 3.9) 
HW3F 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 9:3011:30am 
Practice exam Summary slides Conceptual Questions Final exam Solution 