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Question

Which of the following curve is obtained traced by a point on the circumference of a circle which rolls without slipping on a fixed straight line.

A.

Pitch circle    

B.

Addendum circle

C.

Cycloidal 

D.

Involute

Answer ( Option C)

Cycloidal 

Solution

●In cycloidal profile teeth, the faces of the teeth are epicycloids and the flanks are the hypocycloids.

●A cycloid is the locus of a point on the circumference of a circle that rolls without slipping on a straight line.

●An epicycloid is the locus of a point on the circumference of a circle that rolls without slipping on the circumference of another circle.

●A hypocycloid is the locus of a point on the circumference of a circle that rolls without slipping inside the circumference of another circle.

Hence, the correct option is (C).

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