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Equilibrium of cables and mast

Equilibrium of cables and mast
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2025-10-14 18:50
VectorGeometric Construction
In collections Fundaments of Structures
This example demonstrates the balance of cables and mast under gravitational forces, falling under graphic statics. Key mathematical concepts include vector analysis, line intersection, distance calculation, and geometric construction. The construction involves using commands like Vector, Line, Intersect, and Distance in GeoGebra. Suitable for high school or undergraduate students to explore the application of geometry and physics in mathematics.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Line(A, C) → f
  3. Line(A, D) → g
  4. Line(B, f) → h
  5. Intersect(g, h) → E
  6. Line(E, u) → i
  7. Vector(E, A) → v
  8. Intersect(f, i) → F
  9. Vector(A, F) → w
  10. Distance(E, A) → Nmástil
  11. Distance(A, F) → Ntirante

AI Drawing Prompt Reference

Draw a diagram showing the equilibrium of cables and mast, including a vector, four line segments, two intersection points, the intersection of two line segments, a vector, an intersection point, a vector, and two distances. The vector represents gravity, line segments represent cables and mast, intersection points represent connection points, vectors represent forces, and distances represent lengths. The construction order is: first draw the vector, then draw the four line segments, next find the two intersection points, and finally draw the remaining line segments and vectors, and calculate the distances.
The prompt above was compiled from the original drawing commands and is for reference only.