*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**