JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech I Year ENGINEERING GRAPHICS Previous Question Paper (March/April - 2023 - R16)
Answer any five questions. All questions carry equal marks.
Main
A fixed point is 90 mm from the fixed straight line. Draw the locus of a point P moving in such a way that its distance from the fixed point is twice its distance from the fixed straight line. Name the curve.
Answer
The given problem describes the construction of a conic section where the eccentricity e is the ratio of the distance of point P from the fixed point (focus) to its distance from the fixed straight line (directrix). Given that the distance from the point is twice the distance from the line, the eccentricity is e = 2. Since e > 1, the curve is a hyperbola.
- Draw a vertical line as the directrix (DD).
- Draw a horizontal line (axis) perpendicular to the directrix.
- Mark the focus (F) on the axis at a distance of 90 mm from the directrix.
- Divide the distance between the focus and directrix into 3 equal parts (since e = 2/1, 2+1=3). The vertex (V) is located at the 2nd division from the directrix.
- Mark points at intervals along the axis beyond the vertex. Draw vertical lines through these points.
- With the focus as the center and radii equal to 2 times the corresponding distance from the directrix, draw arcs to intersect the vertical lines.
- Join these points with a smooth curve to obtain the hyperbola.
Construct a diagonal scale to read up to (1/100) th of a metre and long enough to measure up to 6 m. Take representative fraction as 1:50 and mark on the scale a distance of 4.58 m.
Answer
To construct the diagonal scale:
- Representative Fraction (RF) = 1/50.
- Maximum Length = 6 m.
- Length of Scale = RF × Maximum Length = (1/50) × 6000 mm = 120 mm.
- Draw a rectangle of 120 mm length and 50 mm height. Divide the length into 6 equal parts, each representing 1 m.
- Divide the first division into 10 equal parts to represent decimetres (0.1 m).
- Divide the height into 10 equal parts and draw horizontal lines. Use the diagonal method to divide the decimetres into 10 further parts to represent centimetres (0.01 m).
- To mark 4.58 m: Take 4 units on the main scale, 5 divisions on the decimetre scale, and move up to the 8th horizontal line on the diagonal to locate the 0.08 m mark.
Draw a rectangular hyperbola, given that a point on the curve is 20 mm from one asymptote and 30 mm from the other.
Answer
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A circus man rides a motor-cycle inside a globe of 4 m diameter. The wheel diameter is 0.8 m. Draw the locus of a point on the circumference of the motor-cycle wheel for its one complete turn. Name the curve. Assume suitable scale.
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Draw the projections of the points in table 1 at 20 mm intervals.
| Point | A | B | C | D | E | F |
|---|---|---|---|---|---|---|
| Dist. from HP (mm) | 40 above | 20 above | 10 above | 20 above | 10 below | 20 below |
| Dist. from VP (mm) | 20 infront | 10 infront | On VP | 10 behind | 20 behind | 30 infront |
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The plan and elevation lengths of a line AB 100 mm long are 75 mm and 80 mm, respectively. End A is on the HP and 20 mm in front of the VP. Draw the projections of the line and determine its inclinations and traces.
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A square plane with a 40 mm side has one of its sides inclined at 30° to the H.P. The surface of the plane is perpendicular to both H. P. and V.P. Draw its projections.
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A straight line AB has its end A 10 mm above the HP and end B 50 mm in front of the VP. Draw the projections of line AB if it is inclined at 30° to the HP and 45° to the VP, and it is 50 mm long.
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A cylinder of base diameter 50 mm and axis 70 mm has its axis inclined at 30° to the VP and the elevation of the axis is inclined at 30° to the ground line XY. Draw the projections of the cylinder.
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A pentagonal pyramid with base edges 40 mm and axis 75 mm has one of its corners of the base on the HP with the triangular face opposite to it parallel to the HP. Draw the projections of the pyramid if the top view of its axis is perpendicular to the VP.
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A cone with base diameter 50 mm and axis 60 mm is resting on its base. It is cut by a section plane perpendicular to the VP and inclined to the HP, so that the true shape of the section is an isosceles triangle of 40 mm base. Draw the front view, the sectional top view, and the true shape of section.
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A hexagonal prism of base side 30 mm and axis 70 mm is resting on its base on the ground with a side of base inclined at 45° to the VP. It is cut by an auxiliary inclined plane inclined at 45° to the HP and passes through a point 15 mm below the top end of the axis. Draw the development of the lateral surface of the truncated prism.
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An object is shown in figure 1 in an isometric view. Draw its front view, side view and top view. All the dimensions are in mm only.
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Draw an isometric view of given figure 2 below. (All dimensions are in mm).
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