The Center of Mass Tutorial is a software presentation (for classroom use) or tutorial (for student use) that covers both the basic concepts and calculations of center of mass (c of m) in 1, 2, and 3 dimensions.
Product Type: Software - Tutorial, Problem Solving, Simulations, Assessments, Games, Lecture Aide
Curriculum: Physics / Mechanics / Center of Mass - 1D, 2D, and 3D
Level: Grades 9-12 & college
Time To Use: ~ 3 hours or four periods of instruction
1) Understand the definition of the center of mass
2) Develop the equations to calculate the center of mass for 1D and 2D
3) Realize several real world applications of the center of mass
4) Understand how the center of mass changes in 1D and 2D by manipulating simulations
5) Be able to calculate the center of mass in 1D and 2D by solving the equations in the simulation drills
System Requirements: PC computer with Windows XP or newer
The software is downloaded as an executable (.exe) file which, when double clicked, will install the software on your computer.
The software includes a number of simulations that visually illustrate how the center of mass changes as the associated variables change. There are also drills that follow the concept and demonstration screens which can be used for assessment purposes. The scores for these drills are saved and shown on the main menu screen.
Following is a list of the sections, which can be run from the main menu, and a brief description of each:
* Definition of c of g
Definition of the center of mass.
* 1D Two Object Demo
A simulation illustrating how the center of mass changes for two objects in one dimension.
* 1D Two Object Equation
The basic equation for the center of mass of two objects in one dimension is developed.
* 1D Two Object Drill
In this simulation, you can practice calculating the center of mass for two objects in one dimension.
* Earth Moon Problem
Can you calculate the center of mass of the earth & moon system in one dimension?
* Earth Moon Simulation
In this simulation, you can see how the center of mass of the earth & moon system effects their orbits.
* 1D Subtraction Demo
Another simulation, this one illustrating how a hole in a circle changes its center of mass.
* 1D Subtraction Equation
An equation is developed to deal with the hole in the circle problem. (3 frames)
* 1D Subtraction Drill
simulation where you have to calculate the center of mass for the hole in the circle.
* 2D Two Object Equations
To find the center of mass for two objects in two dimensions, we calculate a value for both the x and the y.
* 2D Two Object Demo
A simulation that illustrates the center of mass for two objects in two dimensions.
* 2D Two Object Drill
Are you equal to the task of calculating the center of mass in two dimensions?
* 3D Subtraction Equation
Can you develop an equation for the c of m for a sphere within a sphere?
* 3D Equation Game
A drag and drop game that leads you to check or discover the equation for a sphere within a sphere.
* 3D Two Object Demo
A simulation illustrating how the center of mass changes in three dimensions for a sphere within a sphere.
Descriptions and screen shots are provided in the Free Preview Download.
Please e-mail firstname.lastname@example.org if you have any questions.
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Purchaser may install software on one computer at school and one computer at home. By buying a second license, purchaser may install software on one computer at home and 10 or less computers in their classroom for use by purchaser and their students only. For computer lab installation or school site licenses, please contact Multimedia Science at email@example.com
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Physics, mechanics, center of mass, 1 dimension, 2 dimension, 3 dimension, tutorial, simulation, game, drill, assessment, earth, moon, sphere, circle