MathPlotAI Logo MathPlotAI

Equilibrium Problem Practice

Equilibrium Problem Practice
Loading the math board and drawing, please wait…
2016-02-29 02:23
VectorCalculusGeometric ConstructionSlider Animation
This example demonstrates an adjustable equilibrium problem involving a uniform bar with a mass on it, pivoted at its left end and supported at the right. It covers core math concepts like rotation, expected value, differential calculus, frequency distribution, interest calculation, and parallelograms. The construction utilizes GeoGebra commands such as Polygon, Circle, Rotate, Line, Intersect, Ray, Segment, Vector, Angle, and Textfield. Suitable for high school and above, combining physics mechanics with mathematical geometry.

GeoGebra Commands & Parameters

  1. Polygon((0, -100), (0, 100), (-10, 100), (-10, -100)) → poly2, e, f, g, h
  2. Circle(B, T / 196) → p
  3. Rotate(A, (-α), B) → A'
  4. Line(B, A') → i
  5. Intersect(i, e) → C
  6. Ray(B, C) → m
  7. Polygon((0, 0), (l, 0), (l, -0.2), (0, -0.2)) → poly1, a, b, c, d_2
  8. Segment(B, C) → j
  9. Polygon(D, E, G, F) → poly3, d_1, e_1, g_1, f_1
  10. Vector(J, K) → u
  11. Vector(H, I) → v
  12. Intersect(p, m, 1) → L
  13. Vector(B, L) → w
  14. Vector(A, N) → n
  15. Vector(A, M) → q
  16. Vector(B, O) → r
  17. Vector(B, P) → s
  18. Angle(C, B, A) → β
  19. Vector(Q, R) → k
  20. Vector(R, Q) → u_1
  21. Vector(S, U) → v_1
  22. Vector(U, S) → w_1
  23. Textfield(m_B) → InputBox1
  24. Textfield(m_1) → InputBox2
  25. Textfield(l) → InputBox3
  26. Textfield(d) → InputBox4
  27. Textfield(α) → InputBox5