JNTU
JNTU B.Tech I ENGINEERING GRAPHICS Previous Question Paper (June - 2022 - R18)
Answer any three questions. All questions carry equal marks.
Main
Draw a parabola if the distance of the focus from the directrix is 60 mm.
Answer
To construct a parabola with a focus-directrix distance (f) of 60 mm, follow these steps:
- Draw a vertical line as the directrix and a horizontal line perpendicular to it as the axis.
- Mark the focus F on the axis at a distance of 60 mm from the directrix.
- Locate the vertex V at the midpoint of the distance between the focus and the directrix (30 mm from each).
- Mark several points 1, 2, 3, etc., on the axis beyond the vertex.
- Draw vertical lines through these points perpendicular to the axis.
- With the focus F as the center and radius equal to the distance from the point (e.g., V1) to the directrix, draw arcs to intersect the vertical line passing through point 1. Repeat this for points 2, 3, etc.
- Join the vertex and the intersection points with a smooth curve to form the parabola.
A circle of diameter 40 mm rolls inside another circle of radius 60 mm. Draw the hypocycloid traced by a point on the rolling circle initially in contact with the directing circle for one revolution.
Answer
For a hypocycloid where a rolling circle of diameter 40 mm (radius r = 20 mm) rolls inside a directing circle of radius R = 60 mm:
- Draw the directing circle with radius R = 60 mm and mark the center O.
- Draw the rolling circle inside, tangent to the directing circle at point P.
- Divide the rolling circle into 12 equal parts and label them 1, 2, ..., 12.
- Calculate the angle subtended by the rolling circle at the center O for one full revolution: θ = (r/R) * 360° = (20/60) * 360° = 120°.
- Divide the 120° sector of the directing circle into 12 equal parts.
- Draw arcs with center O and radii corresponding to the heights of points 1, 2, ..., 12 from the directing circle.
- With center O as the pivot, draw arcs through the division points of the 120° sector to intersect the previous arcs.
- Mark the intersection points and join them with a smooth curve to complete the hypocycloid.
A line AB, 50 mm long, has its end A at 40 mm above the HP and 20 mm in front of the VP. The end B is closer to the HP but away from the VP. Draw the projections of the line if it is inclined to the HP at 30 degrees and to the VP at 45 degrees.
Answer
Sign in to view the complete answer paper.
A rectangle ABCD of size 30 mm x 20 mm is inclined to the HP at 30 degrees. Its shorter side AB is parallel to the HP and inclined at 45 degrees to the VP. Draw the projections of the rectangle.
Answer
Sign in to view the complete answer paper.
A triangular prism, 40 mm side of base and 60 mm length of axis, has its axis perpendicular to the VP. Draw the projections if one of the rectangular faces is parallel to the HP and 20 mm above the HP.
Answer
Sign in to view the complete answer paper.
A cone of base 60 mm diameter and height 80 mm is resting on a point on the circumference of base on the HP with its apex 55 mm above the HP. Draw its projections if its axis is inclined at 45 degrees to the VP.
Answer
Sign in to view the complete answer paper.
A vertical square prism with a 60 mm base side and an 80 mm axis length, is completely penetrated by a horizontal square prism with a 40 mm side base and a 100 mm axis length such that their axes bisect each other. The faces of both the prisms are equally inclined to the VP. Draw the three views of the solids showing LOI.
Answer
Sign in to view the complete answer paper.
Draw (a) Front view (b) Top view and (c) side view of the isometric view given in the figure 1 (All dimensions are in mm).
Answer
Sign in to view the complete answer paper.
Figure 2 below shows the FV and TV of the object. Draw its isometric view. (All dimensions are in mm).
Answer
Sign in to view the complete answer paper.