Michael Fowler UVa
From Complex Numbers to the Simple Harmonic Oscillator PDF
Damped
and/or Driven Oscillators PDF
SHM as the Shadow of Circular Motion
A very simple spreadsheet animating the process. Press and hold the end of thescrollbar.
Spreadsheet for Damped Oscillator
This spreadsheet plots the motion of a damped oscillator: you can specify the initial conditions and degree of damping, and find critical damping.
Spreadsheet for Damped Driven Oscillator
An external driving force is added to the previous spreadsheet: see how
damping and resonance compete.
Find out how the period of a real pendulum varies with the amplitude.
Crazy Way to Demonstrate Simple Harmonic Motion
From Vladimir Vasc, in the
Introducing Waves: Strings and Springs PDF
Kinds of waves in one dimension: transverse, longitudinal, traveling, standing.
How applying F = ma to a little piece of string leads to an equation that
describes many different waves.
What happens to a wave when it reaches the end of the string?
Deriving the Wave Equation for sound waves in a pipe. Energy density and power in a sound wave in a
pipe.
Waves in Two and Three Dimensions PDF
Extending the Wave Equation to higher dimensions. Huygens’ picture of wave propagation. Young’s two-slit measurement of the
wavelength of light.
Flashlet of Tension Forces on a Bit of a Waving String
Finding these forces and applying Newton’s Law to a small piece of string is the way to the Wave Equation. Flashlet by Patrick LeDuc.
Flashlet of Air Motion as a Sound Wave Travels Down
a Tube Patrick LeDuc
Water Waves from Two Point Sources Java Applet by Santosh Pisharody
Interference from Two Sources: Young’s Two Slit Experiment
Flashlet for The Doppler Effect
Great Website for Sound and Musical Instruments
Animated Spreadsheet for Adding Harmonic Traveling Waves to Get Standing Waves
Animated Spreadsheet for Two Traveling Waves
Building a Triangular Wave: Fourier Series
Spreadsheet for Beats, Group Velocity and Phase Velocity
Oscillations: the Essentials PDF