Equivalent Force Couple

Equivalent Force Couple
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2018-03-31 22:00
This example demonstrates the geometric representation and calculation of equivalent force couples. Core math concepts include vectors, angles, polygon construction, and the principle of force couple equivalence. GeoGebra commands used in construction are Vector, Angle, Segment, and Polygon. Suitable for high school physics mechanics and mathematics geometric construction teaching, helping to understand force system simplification.

GeoGebra Commands & Parameters

  1. Vector(B, D) → F_B
  2. Vector(A, E) → F_A
  3. Vector(C, F) → F_C
  4. Angle(H, AboutPoint, G) → α
  5. Segment(B, A) → f
  6. Polygon(A, B, C) → t1, c_1, a_1, b_1
  7. Vector(AboutPoint, AboutPoint + D + E + F - A - B - C) → Resultant
  8. Vector(AboutPoint, B) → r_B
  9. Vector(AboutPoint, A) → r_A
  10. Vector(AboutPoint, C) → r_C