Last Update: 11/4/02

Instructor: David McIntyre
Office Hours: Weniger 463 M 9-10, W 10-11, F 11-12

TA: Paul Schmelzenbach
Office Hours Weniger 479 TTh 2:30-3:30

Topics

Reading
(Required, Optional)

Homework
(assigned, due)

Simple Harmonic Oscillations

• Mass on a Spring
• Newton's Equation of Motion
• Simple Harmonic Motion

MT 3.1-2
M 1(all)
SB 13.1-2

HW 1 (Gravity Oscillations)
drill
Harmonic functions
solutions

Free Motion of an Oscillator

• Period of oscillation - energy viewpoint
  • Independence on amplitude
• Pendulum lab

M 2.4
MT 2.6
PJS pp.11-18
SB 13.3

Pendulum Lab
Pend Lab Handout
Pend Lab Workbook

Plane Pendulum Motion

• Undamped Bounded Motion is Periodic
• Dependence of period on amplitude
• Anharmonicity in force and motion

M 2.1
PJS pp. 3-9
SB 13.4

Worksheet: Period of Pendulum

Fourier Analysis

• Pendulum lab
• Fourier series
• Finding coefficients by integration
• Maple Intro: Guess

MT 3.9
M 11.1
PJS pp. 52-60
RHB 3.5-6
RHB 10.1-4
B 15.1-3,15.9

drill
Power series
solutions

Fourier Series

• Maple: Fourier Series - Square
• Maple: Fourier Series - Triangle
• Using lab data in Maple
• Maple: Fitting Fourier Series

HW 1 Due in class
HW 1 Soln

Anharmonic Motion

• Pendulum nonlinearity
• Higher harmonics

M 7.1
MT 4.4
PJS pp. 19-22

HW 2 (Fourier Triangle)
  

Damped Oscillations

• Free damped oscillations
• Initial conditions
• Using lab data in Maple
• FFT lab

MT 3.5, 3.7-8
M 3 (all)
M 2.5, 4.1
PJS pp. 24-30
SB 13.6, 33.1-4
B 6.1-6, 14.1-4
RHB 13.1 

LRC Laboratory
LRC Lab Handout
LRC Lab Workbook

Driven Oscillations, Fourier Transforms

• Fourier transform as limit of Fourier series
• Impulse response
• Convolution

M 5.1,6.1
MT 3.6,3.10
PJS pp. 31-42
SB 13.7, 33.5, 7

Pend Lab Report Due
Pendulum Period Soln
elliptic_pend.mws

LRC impulse response experiment

• LRC Circuit experiment
• Oscilloscope technique
• General driving term

LRC impulse response experiment

• LRC Impedance
• Q of resonance
• Maple: Fourier Integrals
• Maple: Fast Fourier Trasnform

HW 2 Due in class
HW 2 Soln
triangle_coeffs.mws

Response Function

• General response from impulse response
• LRC circuit analysis
• Phasors
• Harmonic response from impulse response

RHB 11.1
M 11.2-3
PJS pp. 66-68
B 4.3, 5.7, 15.10-12

HW 3 (LRC)

Harmonic response lab

• Fourier transform as limit of Fourier series - lab
• Measurement techniques
  • frequency, amplitude, phase

No Class

Fourier Integrals: Techniques

• Inversion
  • Data from circuit lab
• Convolutions
• Completeness
• Orthonormality, Dirac delta
• Uncertainty principle

PJS pp. 69-79

drills
Kronecker delta function
solutions
Dirac delta function
solution

Harmonic response lab

Data: imp_in, imp_out
square_in, square_out

Wrap up & review

HW 3 Due in class
HW 3 Soln
lorentzian.mws

FINAL EXAM

No Class

Complete Portfolio
Pend and LRC Labs
due Friday 12/6 at noon