# Problem 2.7 Loci of Points

## Procedure:

Step-1 First draw a horizontal center line of sufficient length.

Step-2 Mark a point named Oon the horizontal center line & O2 at the distance 130 mm from O1.

Step-3 Draw two circles with center points O&  Owith radii  equal to the length of the crank O1A &  O2B, which is 30 mm & 60 mm respectively.

Step-4 Divide the circle O1A  into 8 equal divisions and give the notations as A1, A2, A3 etc. to the circle as shown  into the figure.

Step-5 With A1, A2, A3 etc. as centers and radius equal to the length of the connecting rod AB, which is 110 mm, cut the circle O2B in such a way that the cuts should be on the side which is above the horizontal center line.

Step-6 Then connect the points A1B1, A2B2, A3B3 etc. with straight lines. And fins its mid points & give the notations P1, P2, P3 etc. as shown into the figure.

Step-7 Now draw a medium dark smooth free hand curve passing through the points P1, P2, Petc. in sequence, which is the locus of the mid-point of connecting rod AB.

Step-8 Give the dimensions by any one method of dimensions and give the name of the components by leader lines wherever necessary.