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Center of Mass / Weighted Average

Center of Mass / Weighted Average
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2013-02-28 12:44
Coordinate GeometrySolid GeometryProbability & StatisticsGeometric Construction
In collections Besondere Punkte/Special Points
This example demonstrates how to visualize the center of mass and weighted average using GeoGebra. It involves core mathematical concepts like center of mass calculation, weighted average, and polygon construction. Key GeoGebra commands and objects used include Line, Point, Polygon, Textfield, and variables like height, a, mass1 to mass5, xcm, A to D, poly1, d, c, b. Suitable for high school and above students learning about physics or mathematics concepts of center of mass and weighted average.

GeoGebra Commands & Parameters

  1. Line((0, height), (1, height)) → a
  2. Point(a) → mass1
  3. Point(a) → mass2
  4. Point(a) → mass3
  5. Point(a) → mass4
  6. Point(a) → mass5
  7. Polygon(C, B, D) → poly1, d, c, b
  8. Textfield(masss1) → inputBox1
  9. Textfield(masss2) → inputBox2
  10. Textfield(masss3) → inputBox3
  11. Textfield(masss4) → inputBox4
  12. Textfield(masss5) → inputBox5

AI Drawing Prompt Reference

Draw a shape consisting of five horizontal line segments and five points, with each point located on a line segment representing different masses. Connect these points to form a polygon and label the mass value at each point. Finally, calculate and display the centroid of the polygon to visualize the concept of center of mass.
The prompt above was compiled from the original drawing commands and is for reference only.