The GATE Grind

GATE 2021 AR – Question 25

Design and Graphics · Engineering curves · 1 mark · Multiple choice

What curve is traced by a point on a circle rolling without slipping inside another circle?

  1. Hypocycloid
  2. Helix
  3. Involute
  4. Hyperbola

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Show answer and explanation

Correct answer: (A) Hypocycloid

Explanation

A point on the circumference of the inner rolling circle traces a hypocycloid, A. Rolling outside gives an epicycloid. A helix advances around an axis, and an involute is associated with unwinding a taut line.