Different Problems & Solutions on Chapter: Loci of Points

Problem 2.11a Loci of Points – A circular disc of 72 mm diameter rotates about its center in the clockwise direction. While the disc completes one revolution, an insect walks across the diameter of the disc. Plot the locus of insect, assuming both the rotation of disc and movement of insect as uniform.

Problem 2.10 Loci of Points – In the figure given below, there is a horizontal channel PS which is fixed. And two rods PQ 80 mm long and QR 80 mm long glide in the channel PS such that the two rods are hinged at the point Q as shown in the figure below. Draw the locus of the midpoint of the rod QR.

Problem 2.9 Loci of Points – In a top view of a folding door mechanism, two rods PQ 110 mm long and QR 70 mm long are welded at the point Q. The angle PQR is 80°. The rod PQ is constrained to slide in a vertical and horizontal guide respectively as shown in the figure given below. For the motion of the rod AB vertically and horizontally, draw the locus of the point R and the point T; which is midpoint of the rod AB.

Problem 2.8 Loci of Points – In a four bar chain mechanism O1O2 is a fixed link. O1A 70 mm long is a driving crank, and the O2B 80 mm long is a driven crank and both the cranks are oscillating. The ends of both these links are connected with a link AB 60 mm long. And the initial position of the links are given in the figure below. Find the locus of the point P which is midpoint of the link AB.

Problem 2.7 Loci of Points – A four bar chain mechanism has a fixed link O1O2 130 mm long. The O1A 30 mm long is a driving crank revolving in clockwise manner. The driven crank O2B 60 mm long is oscillating about the center O2. The link AB 110 mm long is attached with the driving and driven crank. Draw the locus of the point P which is midpoint of the link AB.