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Coplanar Concurrent Forces

Coplanar Concurrent Forces
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2020-03-25 23:39
PolygonVectorCoordinate GeometryGeometric Construction
This example demonstrates the composition and decomposition of coplanar concurrent forces. It involves core mathematical concepts like vectors, polygons, centroids, and coordinate geometry. Construction highlights include using commands such as Polygon, Vector, Centroid, Line, OrthogonalLine, Intersect, and Segment in GeoGebra. Suitable for high school physics and introductory mathematical modeling education.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, f, g, h
  2. Vector(B, E) → v
  3. Vector(A, F) → w
  4. Centroid(poly1) → G
  5. Vector(C, D) → u
  6. Vector(G, H) → a
  7. Line(C, D) → i
  8. Line(A, F) → j
  9. Line(B, E) → k
  10. OrthogonalLine(G, i) → l
  11. OrthogonalLine(G, j) → m
  12. OrthogonalLine(G, k) → n
  13. Intersect(i, l) → I
  14. Intersect(k, n) → J
  15. Intersect(j, m) → K
  16. Segment(G, K) → p
  17. Segment(G, I) → q
  18. Segment(G, J) → r
  19. Vector(G, K) → c
  20. Vector(G, I) → d
  21. Vector(G, J) → e