Sunday, June 27, 2010

CYCLOIDS,EPICYCLOIDS ,HYPOCYCLOIDS


What is a Cycloid?
  • A cycloid is a curve generated by a point on the circumference of the circle as the circle rolls along a straight line with out slipping..
  • The moving circle is called the "Generating circle" and the straight line is called the "Directing line" or the "Base line".
  • The point on the Generating circle which generates the curve is called the "Generating point"






What is Epicycloid?
  • The cycloid is called the epicycloid when the generating circle rolls along another circle outside(directing circle)


  • The curve traced by a point on a circle which rolls on the out side of a circular base surface


CONSTRUCTION OF EPICYCLOID
construction of hypocycloid
  • The curve traced by a point on a circle which rolls on the inside of a circular base surface.

Applications of the cycloids
  • cycloid curves are used in the design of the gear tooth profiles
  • It is also used in the conveyor of mould boxes in the foundry shops.
  • cycloidal curves are mainly used in Kinematics.





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