Document Details

LivelyPerception9443

Uploaded by LivelyPerception9443

V. Lakshmi Narayana

Tags

engineering drawing technical drawing geometric constructions engineering

Summary

This document presents a set of exercises for constructing different curves, including ellipses, parabolas, hyperbolas, cycloids, and epicycloids. The exercises involve using various methods like concentric circles, parallelogram method, and tangent methods. Each exercise includes specific dimensions to guide the construction.

Full Transcript

**UNIT -- 1** **ELLIPSE** 1. Construct an ellipse by using concentric circles method when the major axis length is equal to 120 mm and minor axis length is equal to 80 mm. Also draw tangent and normal at any point on the curve. 2. Construct an ellipse by using rectangle method (oblong m...

**UNIT -- 1** **ELLIPSE** 1. Construct an ellipse by using concentric circles method when the major axis length is equal to 120 mm and minor axis length is equal to 80 mm. Also draw tangent and normal at any point on the curve. 2. Construct an ellipse by using rectangle method (oblong method) when the major axis length is equal to 120 mm and minor axis length is equal to 80 mm. Also draw tangent and normal at any point on the curve. 3. Draw a parallelogram of 100 mm and 70 mm long sides with included angle of 75^0^. Inscribe Ellipse in it 4. Construct an ellipse by using arc of circles method when the major axis length is equal to 120 mm and minor axis length is equal to 80 mm. Also draw tangent and normal at any point on the curve. 5. Construct an ellipse when the distance from the directrix to focus is 50mm and eccentricity is 2/3. Also draw tangent and normal at any point on the curve. 6. Draw a parabola when the distance from the directrix to focus is 50mm. Also draw tangent and normal at any point on the curve. 7. Draw a parabola of base 100 mm and height 50 mm by rectangular method. Also draw tangent and normal at any point on the curve. 8. Draw a parabola of base 100 mm and height 50 mm by parallelogram method if the axis makes an angle of 70^0^ to the base. 9. Draw a parabola of base 100 mm and height 50 mm by parallelogram method if the base of the parabola is inclined at 30^0^ to the horizontal. 10. Draw a parabola of base 100 mm and height 50 mm by tangent method. 11. Construct a hyperbola when the distance from the directrix to focus is 50mm and eccentricity is 3/2. Also draw tangent and normal at any point on the curve. 12. Draw a rectangular hyperbola for a point P on it, 40 mm and 20 mm from the asymptotes OX and OY respectively. 13. The asymptotes of a hyperbola are inclined at 60^0^ to each other. Draw the hyperbola if a point on it is 30 mm and 45 mm from the two asymptotes. 14. Draw a cycloid for a circular plane 50 mm diameter which rolls on the horizontal surface for one complete revolution. Assume that point P is at the bottom of the circular plane. **(Cycloid)** 15. A circle of 50 mm diameter rolls on the outer circumference of another circle of 150 mm diameter. Trace the locus of the point on the circumference of rolling circle for one complete revolution. Also draw tangent and normal at any point on the curve. **(Epicycloid)** 16. Draw the locus of a point on the periphery of a circular plane of 50 mm diameter which rolls inside the circular path of radius 75 mm without slipping for one revolution. Name the curve. **(Hypocycloid)**

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