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A trochoid differs from a cycloid in that the tracing point lies

  • A.at the centre of the directing circle
  • B.on the base line along which rolling occurs
  • C.off the circumference of the rolling circle
  • D.exactly on the circumference of the rolling circle

Answer: C

Correct answer: off the circumference of the rolling circle

A trochoid is the general curve traced by any point rigidly attached to the rolling circle. If the point lies on the circumference the curve is the cycloid, with cusps touching the line; inside it the curve is a curtate trochoid with rounded lows, and outside it a prolate trochoid with loops.

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