MathPlotAI Logo MathPlotAI

Four-bar Linkage Demonstration by Rafael Losada Liste

Four-bar Linkage Demonstration by Rafael Losada Liste
Loading the math board and drawing, please wait…
2022-03-02 18:40
CircleCoordinate GeometryGeometric ConstructionSlider AnimationLocus
In collections Linkages
This example demonstrates the motion and geometric relationships of a four-bar linkage using GeoGebra. Core math concepts include geometric constructions, collinear points, intersections of circles and lines, and analytical geometry. Construction highlights involve commands like Circle, Segment, Point, and Intersect to build the linkage components and their motion paths. Suitable for high school and above students studying mechanisms, mechanical principles, or geometric constructions.

GeoGebra Commands & Parameters

  1. Circle(O, 1) → c4
  2. Segment(P3, Q3) → r3
  3. Segment(P1, Q1) → r1
  4. Segment(P2, Q2) → r2
  5. Circle(U, 1) → c2
  6. Segment(O, U) → b1
  7. Point(c4) → E
  8. Segment(P4, Q4) → r4
  9. Circle(E, 1) → c3b
  10. Segment(O, E) → b2
  11. Intersect(c3b, c2) → F, F', ,
  12. Segment(E, F) → b3d
  13. Segment(U, F) → b4a
  14. Segment(E, F') → b3d'
  15. Segment(U, F') → b4b

AI Drawing Prompt Reference

Construct a four-bar linkage motion/geometry diagram on the plane: use a fixed point O to draw a circle of radius 1, and relate a moving point E to this circle. Take another fixed point U, draw a circle of radius 1 centered at U, and draw the base segment joining O and U. Use the given segment pairs (P3Q3, P1Q1, P2Q2 and another segment P4Q4) as linkage elements. Build the circle centered at E with radius 1, intersect it with the circle centered at U to obtain two intersection points F and F'. Then draw the linkage segments E–F and U–F for one configuration, and E–F' and U–F' for the other, highlighting the geometric relationships of the mechanism at both intersection positions.
The prompt above was compiled from the original drawing commands and is for reference only.