The path of a particle situated on the rim of a wheel moving along a surface (wheel is rotating) as observed by an observer standing on the earth near the wheel will be:
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For rolling motion:
- A point on the rim follows a cycloid.
- The center of the wheel moves in a straight line.
- A point inside the wheel traces a trochoid.
When a wheel rolls along a surface without slipping, a point on the rim follows a cycloidal path. This is due to the combined effect of rotation and forward motion.