Center of Gravity and Stability Animation

Center of Gravity and Stability Animation
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2019-03-31 17:18
This example demonstrates the center of gravity and stability of polygons through animation. It involves core mathematical concepts like vectors, polygon construction, angle calculation, center of gravity determination, and geometric transformations. Key GeoGebra commands and objects used include Polygon, Vector, Angle, AreCollinear, OrthogonalLine. Suitable for high school physics and mathematics education to understand principles of balance and stability.

GeoGebra Commands & Parameters

  1. If(t_s < m, (-t_r), t_s) → tilt
  2. Polygon(pivot, F, C, D) → q1, a, b, c, d
  3. Line(B, E) → f
  4. Vector(CG, A) → u
  5. AreCollinear(A, CG, pivot) → e
  6. Polygon(pivot_2, F_2, C_2, D_2) → q1_2, a_2, b_2, c_2, d_2
  7. Line(CG, yAxis) → i
  8. OrthogonalLine(CG, d) → j
  9. Angle(j, i) → α
  10. Point(i) → G
  11. Point(j) → H
  12. Segment(CG, G) → k
  13. Segment(CG, H) → l