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Locus of the point P which is rotating about another point O with uniform angular velocity and the PO is increasing at a constant rate is ________

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Locus of the point P which is rotating about another point O with uniform angular velocity and the PO is increasing at a constant rate is ________

(a) an ellipse

(b) archimedean spiral

(c) helix

(d) logarithmic spiral

This question was posed to me during a job interview.

Origin of the question is Loci of Points by Different Methods in division Loci of Points & Orthographic Projections of Engineering Drawing

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Right choice is (b) archimedean spiral

Best explanation: It is a curve traced out by a point moving in such a way that it’s movement towards or away from the pole is uniform with the increase of vectorial angle from the starting line. These types of curves are used in drawing profiles of cam.

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