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Friction on Level Surface

Friction on Level Surface
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2017-04-23 21:24
VectorCalculusInequalityGeometric ConstructionGraphing
This example demonstrates the relationship between frictional force and normal force acting on an object on a level surface. Key math concepts include inequalities, vectors, linear functions, and calculus. Construction highlights the use of GeoGebra commands/objects like Midpoint, Vector, CircleSector, PointIn, Angle, If, Segment, and Polygon. Suitable for high school and above students learning physics mechanics and geometric representations of friction calculations.

GeoGebra Commands & Parameters

  1. Midpoint(O_1, P) → Q
  2. Vector(Q, R) → wt
  3. CircleSector(P, E_1, F_1) → d
  4. PointIn(d) → T
  5. Angle(U, P, T) → angle3
  6. Vector(P, T) → F3
  7. If(F3x - friction < 0, 0, F3x - friction) → net
  8. Vector(O, T) → F3j
  9. Vector(P, S) → Fy
  10. Segment(P, U) → horiz
  11. Vector(Q, V) → Normal
  12. Vector(C_1, D_1) → w
  13. Vector(A_1, A_2) → Fv
  14. Vector(N, N_2) → Norm1
  15. Polygon(L_1, K_1, J_1, I_1) → poly1, l_1, k_1, j_1, i_1
  16. Vector(P, O) → F_i
  17. Vector(K_1, M_1) → Fx
  18. If(Fi < f_s, L_1 - (Fi, 0), L_1 - (f_s, 0)) → N_1
  19. Vector(L_1, N_1) → Fs