# Problem 2.5 Loci of Points

## Problem 2.5 A circular disc of diameter 100 mm rotates about its center O for one revolution, during the rotation a point M which is at the point of the periphery of the disc moves to the center in a straight path when the disc completes the half revolution and then reaches back to its initial position in remaining half revolution of the disc. Draw the locus of the point M by assuming that the rotation of the disc and the motion of the point M are constant.

### Procedure:

Step-1

Draw a horizontal axis of the length equal to 100 mm. And mark the center point O on it.

Step-2

Draw a vertical axis of the same length bisecting and perpendicular to the horizontal axis, passing through the point O.

Step-3

With O as center and radius equal to 50 mm draw a circle.

Step-4

Divide these circles into 8 equal divisions. And give the notations P0-Q0, P1-Q1, P2-Q2 etc., as shown into the figure.

Note:-You can give notations in any direction either in clockwise or anticlockwise.

Step-5

Now divide the horizontal axis equally into same no. of divisions as of the circle, which are 8.

Step-6

With O as center and radius equal to O1 on the horizontal axis draw an arc up to the respective divisional line of the circle i.e.,P0-Q0, P1-Q1, P2-Q2 etc. as per the figure given above. Like in the same way draw all arcs. And give the notations as M0, M1, M2 etc. as shown in the figure.

Step-7

Draw a smooth medium dark free hand curve passing through the points M0, M1, M2 etc. as shown in the figure.This is the required answer.

Step-8

Give the dimensions by any one method of dimensions and give the name of the components by leader lines wherever necessary.

## 2 thoughts on “Problem 2.5 Loci of Points”

1. kishan hinsu says:

nice