This Demonstration simulates a mechanism used to convert rotary motion into rectilinear motion.
A planet gear rolls inside a static ring tracing an epicyclic trajectory. The trajectory reduces to a straight line when the planet (green) is half the diameter of the ring (red).
THINGS TO TRY
Rotate and Zoom in 3D
The parametric equation of the hypocycloid formed by rolling a circle of radius
inside a circle of radius
, the right-hand side becomes
, which is the parametric equation of a line segment between the points
Wolfram Demonstrations Project
Published: October 13, 2016
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