Cycloid Parametric Equation

A cycloid is a curve traced by a point P on the circumference of a circle which rolls along a straight line.

In other words its the shape a point on a circumference makes as its rolling along a straight line. The diagram shows this effectively.



cycloid parametric equation


For a circle of radius a the parametric equation of a cycloid is:

x=a(θ-sinθ)

y=a(1-cosθ)



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