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Gear Transmission

Gear Transmission
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2015-04-13 04:13
VectorTransformationGeometric Construction
In collections LEGO MINDSTORMS robotics
This example demonstrates the principle of gear transmission. Key mathematical concepts include ratios, vectors, and straight lines. Using GeoGebra commands such as Intersect and Rotate, the motion trajectory of the gears can be constructed. Suitable for high school students learning mechanical principles and geometric construction.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Rotate(B, α, A) → B'
  3. Rotate(C, α, A) → C'
  4. Rotate(F, (-((α * a / 8))) + 22.5°, D) → F'
  5. Rotate(E, (-((α * a / 8))) + 22.5°, D) → E'

AI Drawing Prompt Reference

Draw a gear transmission diagram. Start by drawing the intersection point A of the x-axis and y-axis. Then, rotate point B and C around A by angle α to get B' and C'. Next, rotate points E and F around D by -((α * a / 8)) + 22.5° to get E' and F'. This completes the initial construction of the gear transmission.
The prompt above was compiled from the original drawing commands and is for reference only.