19: The Cycloid
- Page ID
- 7057
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A cycloid generated by a rolling circle. (CC BY-SA 3.0; Zorgit).
- 19.5: Motion on a Cycloid, Cusps Up
- We shall imagine either a particle sliding down the inside of a smooth cycloidal bowl, or a bead sliding down a smooth cycloidal wire.
- 19.6: Motion on a Cycloid, Cusps Down
- We imagine a particle sliding down the outside of an inverted smooth cycloidal bowl, or a bead sliding down a smooth cycloidal wire.
- 19.9: The Cycloidal Pendulum
- If a simple pendulum is suspended from the cusp of an inverted cycloid, such that the "string" is constrained between the adjacent arcs of the cycloid, and the pendulum's length is equal to that of half the arc length of the cycloid (i.e., twice the diameter of the generating circle), the bob of the pendulum also traces a cycloid path.
- 19.10: Examples of Cycloidal Motion in Physics
- Several examples of cycloidal motion in physics come to mind.
Thumbnail: Schematic of a cycloidal pendulum. (Public Domain; 3piecesuits).