JNTU
JNTU B.Tech I Year ENGINEERING DRAWING Previous Question Paper (July - 2021 - R13)
Answer any three questions. All questions carry equal marks.
Main
Draw a hyperbola having its two asymptotes inclined at 70° to each other and passing through a point P at a distance of 30 mm from one asymptote and 36 mm from the other. Draw a normal and a tangent at any convenient point.
Answer
To construct the hyperbola, first draw the two asymptotes intersecting at an angle of 70°. Let the intersection point be O. Mark point P such that its perpendicular distance from the first asymptote (OA) is 30 mm and from the second asymptote (OB) is 36 mm. Construct a rectangle with sides 30 mm and 36 mm using the asymptotes as axes to locate P. To find additional points, draw lines through P intersecting the asymptotes. For any point Q on the curve, the area of the rectangle formed by its distances from the asymptotes must equal the area of the rectangle formed by P (30 × 36 = 1080 mm²). Plot several points by choosing arbitrary distances from one asymptote and calculating the corresponding distance from the other. Join these points with a smooth curve.
To draw the tangent and normal at a point M on the curve: Draw a line through M parallel to the asymptotes to intersect them at points S and T. Mark point R on the other asymptote such that OS = RT. The line joining R and M is the required tangent. The normal is the line drawn perpendicular to the tangent passing through point M.
Construct a diagonal scale of R.F. = 1 : 32,00,000 to show kilometers and long enough to measure up to 400 km. Show distances of 257 km and 333 km on your scale.
Answer
The Representative Fraction (R.F.) is 1 : 3,200,000. The maximum length to be measured is 400 km. The Length of Scale (L.O.S.) is calculated as R.F. × Maximum Length: (1 / 3,200,000) × 400,000,000 cm = 12.5 cm.
- Draw a line 12.5 cm long and divide it into 4 equal parts, each representing 100 km.
- Subdivide the first part into 10 divisions, each representing 10 km.
- For the diagonal scale, draw 10 horizontal lines above the base line to create 10 rows.
- Divide the first main division vertically into 10 parts. Draw diagonal lines from the division points on the top line to the corresponding points on the base line to allow measurement of 1 km units.
- To mark 257 km: Locate 200 km on the main scale, 50 km on the sub-division, and move up 7 horizontal rows to the diagonal line to mark the exact point.
- To mark 333 km: Locate 300 km on the main scale, 30 km on the sub-division, and move up 3 horizontal rows to the diagonal line to mark the exact point.
A point P is 30 mm and 50 mm respectively from two straight lines which are at right angles to each other. Draw a rectangular hyperbola from P within 10 mm distance from each line.
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The vertex of a hyperbola is 65 mm from its focus. Draw the curve if the eccentricity is 3/2. Draw a normal and a tangent at a point on the curve, 75 mm from the directrix.
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A line AB is 85 mm long has its end A 25 mm away from both the reference planes and is in the first quadrant. The line is inclined at 50° to HP and 30° to VP. Draw its projections and mark the traces of the line.
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A rectangular plate of side 50 mm × 25 mm is resting on its shorter side on HP and inclined at 30° to VP. Its surface is inclined at 60° to HP. Draw its projections.
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A regular hexagonal pyramid, base 25 mm side and axis 80 mm long is resting on its base on the ground with two edges parallel to the VP is cut by a selection plane perpendicular to the VP and inclined at 45° to the HP and intersecting the axis at a point 25 mm above the base. Draw its front view, sectional top view, true shape of the section and sectional side view.
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A square prism, base 40 mm side and height 65 mm, has its axis inclined at 45° to HP and has an edge of its base, on the H.P and inclined at 30° to the V.P. It is cut by a section plane which is parallel to HP, perpendicular to VP and passing through the midpoint of the axis of the solid. Draw the top view of the sectional plane and development of the bottom part.
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Draw the a) Front view b) Side view from left c) Top view of the object shown in figure. All dimensions are in mm.
Front view
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Side view from left
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Top view
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