General Cycloid

Problem:

A circle of diamter 50mm is rolling on a horizontal path for one complete revoluion clockwise. Trace the path of the point P on the circumference of the rolling circle and draw the cuve. Also draw a tangent and normal at a distance of 30mm above the ground line (Directing line).

Solution:

Epi-Cycloid

Problem:

A circle of diameter 50mm is rolling on another circle of radius 90mm for one complete revolution clockwise. Trace the path of the point P on the circumference of the rolling circle and draw the cuve. Also draw a tangent and normal at any point on the curve.

Solution:

Hypo-Cycloid

Problem:

A circle of diameter 50mm is rolling inside another circle of radius 90mm for one complete revolution. Trace the path of the point P on the circumference of the rolling circle and draw the cuve. Also draw a tangent and normal at any point on the curve.

Solution: