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Application of Equation of Motion in Pulleys

Application of Equation of Motion in Pulleys
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2017-05-25 15:00
VectorFunctionGeometric Construction
This example demonstrates the application of the equation of motion in pulley systems. Key mathematical concepts include equations of motion, vectors, and geometric construction. Using GeoGebra commands such as Point, Vector, and Polygon, a dynamic model of the pulley system is constructed. Suitable for high school physics and mathematics education.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. OrthogonalLine(A, xAxis) → f
  3. Point(xAxis) → B
  4. OrthogonalLine(B, xAxis) → g_3
  5. Circle(C, D) → c
  6. Line(C, g_3) → h
  7. Line(E, xAxis) → i
  8. Intersect(c, h) → F, G
  9. Intersect(i, h) → H
  10. Intersect(i, g_3) → I
  11. Intersect(f, i) → J
  12. Segment(J, I) → j
  13. Point(f) → K
  14. Point(f) → L
  15. Line(K, xAxis) → k
  16. Line(M, xAxis) → l
  17. Intersect(k, g_3) → N
  18. Intersect(l, g_3) → O
  19. Segment(C, H) → m
  20. Point(k) → P
  21. Point(k) → Q
  22. Polygon(Q, P, 4) → poly1, n, p, q, r, R, S
  23. Point(l) → T
  24. Point(l) → U
  25. Polygon(U, T, 4) → poly2, s, t, a, b, V, W
  26. Line(Z, xAxis) → d
  27. Intersect(g_3, d) → A_1
  28. Point(d) → B_1
  29. Point(d) → C_1
  30. Polygon(C_1, B_1, 4) → poly3, e, f_1, g_1, h_1, D_1, E_1
  31. Point(d) → F_1
  32. Point(d) → G_1
  33. Polygon(F_1, G_1, 4) → poly4, i_1, j_1, k_1, l_1, H_1, I_1
  34. Point(l) → J_1
  35. Point(l) → K_1
  36. Polygon(K_1, J_1, 4) → poly5, m_7, n_1, p_1, q_1, L_1, M_1
  37. Point(k) → N_1
  38. Point(k) → O_1
  39. Polygon(N_1, O_1, 4) → poly6, r_1, s_1, t_1, a_1, P_1, Q_1
  40. Intersect(c, g_3) → R_1,
  41. Point(g_3) → S_1
  42. Point(f) → T_1
  43. Intersect(q, g_3) → U_1
  44. Intersect(g_3, a) → V_1
  45. Intersect(f, t_1) → W_1
  46. Intersect(f, p_1) → Z_1
  47. Intersect(d, i_1) → A_2
  48. Intersect(f, d) → B_2
  49. Segment(S_1, N) → b_1
  50. Segment(T_1, K) → c_1
  51. Segment(U_1, O) → d_1
  52. Segment(V_1, A_1) → e_1
  53. Segment(K, W_1) → f_2
  54. Segment(W_1, L) → g_2
  55. Segment(Z_1, B_2) → h_2
  56. Segment(W_1, L) → i_2
  57. PointIn(poly6) → C_2
  58. PointIn(poly1) → D_2
  59. PointIn(poly2) → E_2
  60. PointIn(poly5) → F_2
  61. PointIn(poly3) → G_2
  62. PointIn(poly4) → H_2
  63. Vector(I_2, J_2) → u
  64. Vector(K_2, L_2) → v
  65. Vector(M_2, N_2) → w
  66. Vector(O_2, P_2) → u_1