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written by Andrew Duffy
This interactive simulation models the motion of a simple pendulum.  Users can change length, initial angle, and mass. Adjust the acceleration due to gravity to simulate pendulum motion on another planet. Graphs of angular position, angular velocity, and angular acceleration may be displayed, as well as energy bar graphs and free-body diagrams.  

This applet was created with EJS, Easy Java Simulations, a modeling tool that allows users without formal programming experience to generate computer models and simulations.

SEE RELATED ITEMS on this page for a link to the full index of Andrew Duffy's EJS simulations.
Subjects Levels Resource Types
Classical Mechanics
- Newton's Second Law
= Force, Acceleration
- Work and Energy
= Conservation of Energy
Oscillations & Waves
- Oscillations
= Pendula
- Lower Undergraduate
- High School
- Middle School
- Upper Undergraduate
- Instructional Material
= Interactive Simulation
- Audio/Visual
= Movie/Animation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
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Access Rights:
Free access
This material is released under a GNU General Public License Version 3 license.
Rights Holder:
Andrew Duffy, Boston University
SHM, acceleration, angular acceleration, angular velocity, energy bar chart, kinetic energy, oscillation, pendula, pendulum, potential energy, simple harmonic motion, simple harmonic oscillation
Record Cloner:
Metadata instance created September 2, 2009 by Elijah Lee
Record Updated:
September 28, 2012 by Caroline Hall
Last Update
when Cataloged:
August 27, 2009
Other Collections:

AAAS Benchmark Alignments (2008 Version)

4. The Physical Setting

4E. Energy Transformations
  • 9-12: 4E/H1. Although the various forms of energy appear very different, each can be measured in a way that makes it possible to keep track of how much of one form is converted into another. Whenever the amount of energy in one place diminishes, the amount in other places or forms increases by the same amount.
  • 9-12: 4E/H9. Many forms of energy can be considered to be either kinetic energy, which is the energy of motion, or potential energy, which depends on the separation between mutually attracting or repelling objects.
4F. Motion
  • 6-8: 4F/M3a. An unbalanced force acting on an object changes its speed or direction of motion, or both.
  • 9-12: 4F/H8. Any object maintains a constant speed and direction of motion unless an unbalanced outside force acts on it.

11. Common Themes

11B. Models
  • 3-5: 11B/E3. A model of something is similar to, but not exactly like, the thing being modeled. Some models are physically similar to what they are representing, but others are not.
  • 6-8: 11B/M2. Mathematical models can be displayed on a computer and then modified to see what happens.

Common Core State Standards for Mathematics Alignments

Standards for Mathematical Practice (K-12)

MP.4 Model with mathematics.

Functions (8)

Use functions to model relationships between quantities. (8)
  • 8.F.5 Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

High School — Algebra (9-12)

Creating Equations? (9-12)
  • A-CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

High School — Functions (9-12)

Interpreting Functions (9-12)
  • F-IF.7.e Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
Trigonometric Functions (9-12)
  • F-TF.1 Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
  • F-TF.4 (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
  • F-TF.5 Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.?
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Record Link
AIP Format
A. Duffy, (2008), WWW Document, (
A. Duffy, Boston University Physics Easy Java Simulation: Simple Pendulum (2008), <>.
APA Format
Duffy, A. (2009, August 27). Boston University Physics Easy Java Simulation: Simple Pendulum. Retrieved May 21, 2024, from
Chicago Format
Duffy, Andrew. Boston University Physics Easy Java Simulation: Simple Pendulum. August 27, 2009. (accessed 21 May 2024).
MLA Format
Duffy, Andrew. Boston University Physics Easy Java Simulation: Simple Pendulum. 2008. 27 Aug. 2009. 21 May 2024 <>.
BibTeX Export Format
@misc{ Author = "Andrew Duffy", Title = {Boston University Physics Easy Java Simulation: Simple Pendulum}, Volume = {2024}, Number = {21 May 2024}, Month = {August 27, 2009}, Year = {2008} }
Refer Export Format

%A Andrew Duffy %T Boston University Physics Easy Java Simulation: Simple Pendulum %D August 27, 2009 %U %O application/java

EndNote Export Format

%0 Electronic Source %A Duffy, Andrew %D August 27, 2009 %T Boston University Physics Easy Java Simulation: Simple Pendulum %V 2024 %N 21 May 2024 %8 August 27, 2009 %9 application/java %U

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Citation Source Information

The AIP Style presented is based on information from the AIP Style Manual.

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Boston University Physics Easy Java Simulation: Simple Pendulum:

Is Part Of

This is the full index of Easy Java Simulations (EJS) by author Andrew Duffy, created for first-semester introductory physics.  EJS is a modeling tool developed by the Open Source Physics project.

relation by Caroline Hall

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