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What is the involute curve?

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What is the involute curve?

(a) Point Locus on a straight line which rolls around a circle without slipping

(b) Point Locus on a straight line which rolls around a line without slipping

(c) Point Locus on a circle which rolls around a pitch circle without slipping

(d) Point Locus on a circle which rolls around a line without slipping

I have been asked this question by my school teacher while I was bunking the class.

My question comes from Involute Curve in portion Measurement and Testing of Gears of Engineering Metrology

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The correct answer is (a) Point Locus on a straight line which rolls around a circle without slipping

For explanation: An involute curve is a point locus on straight line which rolls, around a circle without slipping. It could also be defined as the point locus on a piece of string which in unwound from a cylinder or stationary cylinder.

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