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2D Moment

2D Moment
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2018-03-24 23:15
VectorFunctionProbability & Statistics
This example demonstrates the concept of 2D moment. Using vectors and angles, it shows how to calculate the moment. The construction uses commands like Vector, Point, Angle, Length from GeoGebra. Suitable for high school physics and math education.

GeoGebra Commands & Parameters

  1. Vector(A, B) → F
  2. Point(yAxis) → D
  3. Angle(C, A, B) → θ
  4. Length(F) → LF
  5. Line(A, C) → i
  6. Line(D, i) → f
  7. OrthogonalLine(A, f) → g
  8. OrthogonalLine(B, i) → h
  9. Intersect(i, h) → G
  10. Vector(A, G) → F_{proj}
  11. Segment(B, G) → k
  12. Line(B, i) → j
  13. OrthogonalLine(A, j) → l
  14. Intersect(l, j) → E
  15. Segment(B, E) → m
  16. Vector(A, E) → F_{perp}
  17. Polygon(O, A, B, H) → q1, n, p, q, s
  18. Length(F_{perp}) → LFp
  19. Vector(O, A) → r
  20. Vector(O, J) → r_y
  21. Vector(O, I) → r_x
  22. Vector(Fx0, Fx1) → F_x
  23. Vector(Fy0, Fy1) → F_y
  24. Length(r) → Lr
  25. If(M_0 < 0, "-", " ") → sign_1

AI Drawing Prompt Reference

Draw a 2D moment diagram, including points A and B, draw vector F through A and B, point D on the y-axis, draw angle θ through C, A, and B, calculate the length LF of vector F, draw line i through A and C, line f through D and i, line g perpendicular to i through A, line h perpendicular to i through B, point G is the intersection of i and h, draw vector F_{proj} from A to G, segment k from B to G, line j through B and i, line l perpendicular to j through A, point E is the intersection of l and j, draw segment m from B to E, vector F_{perp} from A to E, draw polygon OABH, calculate the length LFp of vector F_{perp}, vector r from O to A, r_y from O to J, r_x from O to I, vector F_x from Fx0 to Fx1, vector F_y from Fy0 to Fy1, calculate the length Lr of r.
The prompt above was compiled from the original drawing commands and is for reference only.