Model to Explore "Trajectory of the Falling ladder" - the classic Oxford problem

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
3. https://mindyourdecisions.com/blog/2019/02/14/can-you-solve-an-oxford-interview-question-the-sliding-ladder-problem/

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Ajman FET offers Resources for Self Learners- Unschoolers- Homeschoolers. 
Inspiration, Motivation for Self Learners,Makers, Tinerers & Resources for Discovery (Maker centered) based Learning Right here in Ajman

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