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Steps are given to draw the evolute of a cycloid. Arrange the steps. i. Mark a point P on the cycloid and draw the normal PN to it. ii. Similarly, mark a number of points on the cycloid and determine centres of curvature at these points. iii. The curve drawn through these centres is the evolute of the cycloid. It is an equal cycloid. iv. Produce PN to Op so that NOp = PN. Op is the centre of curvature at the point P.

Steps are given to draw the evolute of a cycloid. Arrange the steps. i. Mark a point P on the cycloid and draw the normal PN to it. ii. Similarly, mark a number of points on the cycloid and determine centres of curvature at these points. iii. The curve drawn through these centres is the evolute of the cycloid. It is an equal cycloid. iv. Produce PN to Op so that NOp = PN. Op is the centre of curvature at the point P. Correct Answer i, iv, ii, iii

Evolute is generally the locus of center of curvature from point on any curve. So for center of curvature we first need to draw normals at the point on curve and then center of curvature and then similarly other center of curvatures and joining the whole gives us the evolute.

Related Questions

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