Click here to read the pdf of Additional Material [November-2012] to be added to the 1st edition of the textbook:

ADDITIONS to 1st Edition

 

 

Sine wave generation from Motion of a point around a circle

Sine Wave Generation from Circle

Motion of material in a Traveling wave

Traveling Wave – motion of material

 

Circular membrane – modes – web Clicking on a box on the bottom adds a specific mode to the applet. The number along the horizontal axis rellects the number of nodal circles, while the number of the archive of applets

Circular Membrane Applet of modes

 

Tuning fork modes

Fundamental

 

Clang mode

Tuning Fork Clang mode

 

Evolution of a General Excitation via Spectral Analysis -Vibrating String

GeneralExcitation Vibrating String

 

Video of a Bouncing Steel ball on a surface of Liquid Metal and on a surface of Titanium metal.

Liquid metal has the characteristic of being highly elastic and losing little energy in a collision.
It is incredible how many bounces a steel ball makes on a liquid metal surface before coming to apparent rest.

Notice how the time between consecutive bounces decreases — or, expressed differently, how the frequency of the bounces increases. To appreciate why this is so, take a look at the following problem.

 

 

 

Problem: If a ball is dropped from rest at a height of 30cm from the bottom of the column and each bounce leads to a new height that is 95% the previous height, how many bounces will it take for the ball to reach a height of only one Angstrom [10^(-10) m]? Atoms are on the order of a few Angstroms in diameter.

WAVE PHENOMENA in a RIPPLE TANK

 
Below there are links to private postings on YouTube produced using the beautiful applet on the website:
http://www.falstad.com/ripple/
If you look closely you will see how to control the applet
I recommend that you do some exploration on your own to enjoy a rich variety of wave phenomena.
I also highly recommend that you click on the full screen button to see the details.

 SINGLE SOURCE in a Ripple Tank

Diffraction by a Half Plane (located at the far top right) in a Ripple Tank

Note how the diffraction depends upon the wavelength and therefore frequency.

 

Small Line Segment – Obstacle Diffracts a Wave in a Ripple Tank

 

DIFFRACTION by an Obstacle in a Ripple Tank

Look carefully to see my mouse pointer drawing the obstacle. You can draw your own obstacles.

 

EXCEL file of a table of color matching functions for sRGB primaries

sRGB TCMF 10nm

 

Chromaticity Diagram for sRGB primaries