JNTU
JNTU B.Tech I Year ENGINEERING DRAWING Previous Question Paper (January/February - 2024 - R13)
Answer any five questions. All questions carry equal marks.
Main
A point F is 50 mm from a line AB. A point P is moving in a plane such that the ratio of its distances from F and line AB remains constant and equals to 2/3, draw locus of point P.
Answer
The locus of a point moving such that the ratio of its distance from a fixed point (focus) to its distance from a fixed line (directrix) is constant is a conic section. Given the ratio (eccentricity) e = 2/3, which is less than 1, the locus is an ellipse.
- Draw a vertical line as the directrix (AB) and a horizontal axis perpendicular to it.
- Mark the focus (F) on the axis at a distance of 50 mm from the directrix.
- Locate the vertex (V) by dividing the distance between the directrix and focus in the ratio 2:3. Since 2+3=5 parts, each part is 10 mm. Thus, V is 20 mm from the directrix and 30 mm from the focus.
- Draw a line through F perpendicular to the axis. Mark points on this line by taking various distances from the directrix and drawing arcs from F with radius equal to e times the distance from the directrix.
- Repeat this process for several points along the axis to obtain multiple points on the curve.
- Join these points with a smooth, freehand curve to complete the ellipse.
Draw involute of a pentagon of side 25 mm.
Answer
To draw the involute of a pentagon with side length 25 mm:
- Draw a regular pentagon ABCDE with side length 25 mm.
- Extend side AB to a point P1 such that BP1 = 25 mm.
- With B as the center and radius BP1 (25 mm), draw an arc to intersect the extension of BC at P2.
- With C as the center and radius CP2 (50 mm), draw an arc to intersect the extension of CD at P3.
- With D as the center and radius DP3 (75 mm), draw an arc to intersect the extension of DE at P4.
- With E as the center and radius EP4 (100 mm), draw an arc to intersect the extension of EA at P5.
- With A as the center and radius AP5 (125 mm), draw an arc to complete the involute curve.
Construct a scale of 1:40 to read metres, decimetres and centimetres and long enough to measure up to 6 m. Mark a distance of 4.76 m on it.
Answer
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A line AB, 80 mm long, makes an angle of 30° with the VP, and lies in a plane perpendicular to both the HP and VP. Its end A is in the HP, and the end B is in the VP. Draw its projections and show its traces.
Answer
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A semi-circular lamina of 64mm diameter has its straight edge in VP and inclined at an angle of 45° to HP. The surface of the lamina makes an angle of 30° with VP. Draw the projections.
Answer
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Draw the projection of a pentagonal prism, base 20 mm side and axis 50mm long, resting on one of its rectangular faces on the ground with the axis inclined at 30° to the VP.
Answer
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A cylinder, 60 mm diameter and 80 mm long, has its axis parallel to the H.P. and inclined at 30° to V.P. It is cut by a vertical section plane in such a way that the true shape of the section is an ellipse having the major axis 70 mm long. Draw its sectional front view and true shape of the section.
Answer
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A cylinder of diameter 50 mm and height 75 mm is resting on the ground on its flat end. It is cut by a sectional plane inclined at 30° to the axis of the cylinder and passing through a point on the axis at height of 50 mm from the base. Draw the lateral surface of the bottom part.
Answer
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A cone of base diameter 80 mm and its axis 100 mm is resting on its base on HP. It is completely penetrated by a cylinder of base diameter of 40 mm. The axes of the solids intersect each other at right angles, 30 mm above the base of the cone. Draw the projections of the combination and curves of intersection.
Answer
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Draw isometric view of a cylinder of base diameter 55 mm and axis length 65 mm when the axis of the cylinder is (a) vertical (b) horizontal.
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Draw (a) Front View (b) Top View (c) Side view for the below figure. (All dimensions are in mm).
Answer
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