Trammel of Archimedes
Print Profile(1)
Description
This toy demstrates a mechanical principle invented by Archimedes.
To print in multicolor, simply use the “cut” function in Bambu studio, to split it into multiple parts.
Geometry Challenge
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Question: Does the center knob move in a circle and with constant angular velocity? - (When the knob is turned with constant angular velocity)
Answer: Imagine a second rod of equal length that forms an 'X' with the first rod. Its center has a hole for the knob. One end of the second rod is fixed to the center.
- Now the two rods will mirror each others movement and thus have the same absolute angular velocity
- Any point in the second imaginary rod describes a circle - including the knob.
- The up-down and the left-right movements of the knob are sine and cosine - and so are the shuttle movements.
General Ellipsograph:
https://en.wikipedia.org/wiki/Ellipsograph
Archimedes - Life and Inventions:
https://en.wikipedia.org/wiki/Archimedes
License
You shall not share, sub-license, sell, rent, host, transfer, or distribute in any way the digital or 3D printed versions of this object, nor any other derivative work of this object in its digital or physical format (including - but not limited to - remixes of this object, and hosting on other digital platforms). The objects may not be used without permission in any way whatsoever in which you charge money, or collect fees.
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