The definition of a series is provided in a PDF document. The document also details the geometric, telescoping and harmonic series, tests for divergence, and series rules.

Students investigate the formation of standing waves, the vibrational patterns associated with the various harmonics, and the difference between transverse and longitudinal standing waves.

A guitar string has a number of frequencies at which it will naturally vibrate. These natural frequencies are known as the harmonics of the guitar string. Students work through several example problems.

A learning module that begins with "Teen Brain Takes Biggest Sports Hits" by Katherine Harmon, accompanied by guided reading questions, assessment questions, and discussion questions. The text can be printed as a PDF or assigned online...

The tutorial explores applications of trigonometric graphs. Topics include simple harmonic motion and angular velocity. Definitions, an animation, examples, and practice exercises are included.

This analysis is well done with clear diagrams, concise text and online sound clips. Also available in Spanish.

This experiment allows the period, displacement, velocity, and acceleration of a mass suspended on a spring to be investigated by data logging the output from a motion sensor. It is an example of simple harmonic motion.

Determine the frequency needed to produced a given harmonic on a string with a given length, mass and tension.

By the end of this section, you will be able to relate recurring mechanical vibrations to the frequency and period of harmonic motion and to compute the frequency and period of an oscillation.

A series of thought-intensive, multichoice questions from the University of Maryland concerning masses on springs. A downloadable software program on the topic is also included.

Through illustrated examples and animations, students investigate the formation of standing waves.

Elaborate on the essential characteristics and the causes of standing wave patterns and relate these patterns to the vibrations of musical instruments.

Using Fourier and Harmonic series, the line spectrums of functions are derived and represented on graphs. Several music examples show the connection between harmonics and sound.

Download this software and set up drills on your own level for melodic and harmonic intervals. Learn to recognize and build chords. There is a small cost for the full version (click on "Complete Package") and with a microphone, the...

A collection of video lectures from a course on mechanical vibrations. Webpage includes forty lectures from a professor at the National Programme on Technology Enhanced Learning. Lectures vary in length and cover topics like harmonic...

A series of thought-provoking, multichoice questions from the University of Maryland on the topic of oscillations and waves. Equations for calculating the period of motion for masses on springs, pendulums, sounds, and waves on a string...

The periodic motion of a pendulum is described with words and equations; little conceptual emphasis. Sample problems with solutions are provided.

Learn how to make waves of all different shapes by adding up sines or cosines. Make waves in space and time and measure their wavelengths and periods. See how changing the amplitudes of different harmonics changes the waves. Compare...

In this project, you will investigate the physics of standing waves on guitar strings. You will learn about the different modes (i.e., patterns) of vibration that can be produced on a string, and you will figure out how to produce the...

Discover the acoustical properties of brass instruments from this well researched site provided by the University of New South Wales. Everything from lip control to bell shape is discussed as it applies to frequencies and harmonics.

An interactive simulation that teaches about resonance, harmonic motion, and oscillator by observing varying frequencies and amplitudes, damping constants, and the mass and spring constant to determine the effect on resonance. This...

[Free Registration/Login may be required to access all resource tools.] In the following online tutorial students will explore safety practices and rules and symbols associated with them. They will define components of the NFPA Label and...

This is a list of 18 questions covering the major concepts in Chapter 16: Oscillatory Motion and Waves from the AP Physics online text.

An excellent resource for students and adults with disabilities which make it difficult to read print texts in the conventional manner. Presents hundreds of magazine and newspaper articles, clippings, and current and past events in audio...