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Rod in a Cylinder

Rod in a Cylinder
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2019-12-20 16:51
VectorSolid Geometry
This example demonstrates the movement of a rod inside a cylinder. Key mathematical concepts include geometric transformations and vectors. Using commands such as Sphere, Surface, Cylinder, IntersectConic, and CurveCartesian, the dynamic trajectory of the rod inside the cylinder can be constructed. Suitable for high school and above students to learn about geometric transformations and vectors.

GeoGebra Commands & Parameters

  1. Sphere((0, 0, 0), 2) → d
  2. Surface(1 - cos(t), sin(t), h, t, 0, (2 * π), h, -10, 10) → a
  3. Cylinder((1, 0, -10), (1, 0, 10), 1) → e, f, g, h
  4. IntersectConic(d, e) → k
  5. CurveCartesian((2 * cos(t)^(2)), ((2 * cos(t)) * sin(t)), (-sqrt(4 - (4 * cos(t)^(2)))), t, ((-π)) / 2, π / 2) → c
  6. CurveCartesian((2 * cos(t)^(2)), ((2 * cos(t)) * sin(t)), sqrt(4 - (4 * cos(t)^(2))), t, ((-π)) / 2, π / 2) → b