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7 Applications of Forces

7 Applications of Forces
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2018-07-04 15:49
CirclePolygonGeometric Construction
In collections Pearson Maths A level Statistics and Mechanics 2 Pearson Maths A level Statistics and Mechanics 2 Pearson Maths A level Statistics and Mechanics 2
This example demonstrates the geometric phenomena related to seven applications of forces. It involves core mathematical concepts such as incircle, multiplication, variance, polygons, and intersections. The construction utilizes GeoGebra commands/objects like Point, Segment, Rotate, Sequence, Angle, Line, OrthogonalLine, Length, Intersect, Vector, and Midpoint. Suitable for high school mathematics students and teachers for teaching demonstrations and geometric construction practice.

GeoGebra Commands & Parameters

  1. Point(s_1) → D
  2. Segment(D, A_1) → h
  3. Point(h) → U
  4. Rotate(A_1, θ, D) → B_1
  5. Segment(D, B_1) → s
  6. Point(s) → B
  7. Segment(U, C) → a
  8. Sequence(Segment[(-100, i), (100, i)], i, -50, 50, 1) → list2
  9. Sequence(Segment[(i, -100), (i, 100)], i, -50, 50, 1) → list4
  10. Angle(A_1, D, B_1) → θ_1
  11. Line(D, A_1) → f
  12. Line(D, B_1) → g
  13. OrthogonalLine(R_1, s) → j
  14. OrthogonalLine(G, s) → m
  15. Point(m) → E
  16. Point(m) → F
  17. Line(L, s) → i
  18. Length(a) → a_{1}
  19. Point(i) → N
  20. OrthogonalLine(B, h) → l
  21. Intersect(l, h) → O
  22. Angle(B, O, A) → α
  23. Point(s) → C_2
  24. Point(h) → H
  25. Vector(H, R) → u
  26. Point(Circle[B, 2]) → P
  27. Segment(B, P) → k
  28. Segment(H, R) → n
  29. Segment(B, P) → p
  30. Midpoint(A, B) → I
  31. Segment(I, J) → q
  32. Segment(C, S) → t
  33. Intersect(θ_1, f, 1) → T
  34. Segment(I, B) → b
  35. Segment(U, I) → c
  36. Segment(I, B) → d
  37. Length(b) → b_{1}
  38. Length(c) → c_{1}
  39. Length(d) → d_{1}
  40. Segment(U, B) → e
  41. Segment(U, O) → f_1
  42. Segment(O, B) → g_1
  43. Point(h) → V
  44. Vector(A, V) → v