Engineering Graphics
UNIT 3ENGINEERING CURVE 1. A circle of 115 mm diameter rolls on another circle of 75 mm diameter withinternal contact. Draw the locus of a point on the circumference of the rollingcircle for its one complete revolution.2. A circle of 50 mm diameter rolls on another circle of 175 mm diameter. Drawand name the curves traced out by two points Q and 5 lying on a straightline through the centre C of the rolling circle and respectively 20 mm and35 mm from it, when it rolls (i) outside and (ii) inside the other circle.3. A circle of 50 mm diameter rolls on a horizontal line for a half revolution andthen on a vertical line for another half revolution. Draw the curve traced outby a point P on the circumference of the circle.4. Draw an involute of a circle of 40 mm diameter. Also, draw a normal anda tangent to it at a point 100 mm from the centre of the circle.5. Draw a circle with diameter AB equal to 65 mm. Draw a line AC 150 mmlong and tangent to the circle. Trace the path of A, when the line AC rollson the circle, without slipping.6. The distance between the foci of an ellipse is 100 mm and the minor axis is65 mm long. Draw the evolute of the ellipse.7. A circle of 50 mm diameter rolls along a straight line without slipping. Drawthe curve traced out by a point P on the circumference, for one completerevolution of the circle. Name the curve. Draw a tangent to the curve at apoint on it 40 mm from the line.8. A circle of 50 mm diameter rolls on the circumference of another circle of 175 mmdiameter and outside it. Trace the locus of a point on the circumference of therolling circle for one complete revolution. Name the curve. Draw a tangent anda normal to the curve at a point 125 mm from the centre of the directing circle.9. The major axis of an ellipse is 100 mm long and the foci are at a distanceof 15 mm from its ends. Find the minor axis. Prepare a trammel and drawthe ellipse using the same.10. Two straight lines OA and OB make an angle of 75° between them. P is apoint 40 mm from OA and 50 mm from OB. Draw a hyperbola through P,with OA and OB as asymptotes, marking at least ten points.
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