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Sliding Ladder, Ellipse

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3D model description

####Sliding/Falling Ladder

The sliding ladder is a classic problem in school mathematics. Depending on the location of the person, the falling trajectory is either an ellipse or a circle (a circle is a special case of an ellipse, of course). Three pencil holes are made on the ladder (1/4, 1/2, 3/4) for tracing part of the curves.

Two designs are provided. The circular sliders can be printed together with the rails. After some physical modeling, one should attempt a proof. Here are some basics: (1) the ladder has a fixed length; (2) right triangles are interesting (the Pythagorean Theorem); and (3) there are a bunch of similar triangles in the background. Have fun!

####References

  1. https://demonstrations.wolfram.com/PhysicsOfASlidingLadder/
  2. http://physics.princeton.edu/~mcdonald/examples/ladder.pdf

3D printer file information

  • 3D design format: STL Folder details Close
    • Ladder_Falling_Ver_A.stl
    • Ladder_Falling_Ver_B.stl

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  • Publication date: 2018/08/16 at 15:30

License

CC BY

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Creator

STEAM educator, learning from and working with K-12 STEAM teachers to explore new ideas of teaching and engagement. I firmly believe ART is at the core of STEM learning or all human learning! I owe my ideas and designs to the hundreds of K-12 children and teachers and university professors I have had the pleasure of working with, in multiple disciplines-- math, science,engineering language arts, social studies, early childhood education and more! All mistakes, of course, are mine! There is no warranty or liability whatsoever implied or explicit behind the designs or ideas. They are all posted for their potential educational values.

When working with children, please strictly observe all safety and health procedures! Please refer to the NSTA safety guides: http://www.nsta.org/safety/.

LGBU Contact: LGBU@SIU.EDU

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