PROJECTION OF LINES:
1. The HT and the VT of a straight line AB is below and above XY respectively. The distance between the HT and the VT as measured parallel to XY is 200 mm. The end B of the line is nearer to the VP than the end A. The view from above of the line makes 30° to XY. The end B is 10 mm from the VP and 20 mm from the HP. The distance between the end projectors of the line measures 50 mm parallel to XY. Draw the projections of the line. (R09mech june2010set2)
2. The HT and the VT of a straight line coincides with each other and 20 mm away from one of the ends as measured parallel to XY. The distance between the end projectors of the line measured parallel to XY is 50 mm. Draw the projections. Find the TL and the true inclinations of the line. The end nearer to the HT and the VT is 15 mm from the VP and 25 mm from the HP. (R09mech june2010set1)
3. A room has the dimensions 6m ×4m ×3m. Two nails are driven on two adjacent walls at heights of 2.5m and 1.5m from the ground respectively. One nail is 3m away and another is 2m away from the common edge of the walls. Find graphically the minimum length of the thread required to connect the nails. What is the inclination of the thread to the ground and to the wall? (R09mech june2010set3)
4. The seat of a stool is a square 450 mm by 450 mm. Four legs from the corners of the stool spread out and form the corners of a square 600 mm by 600 mm on the flat ground. The height of the stool from the ground is 500 mm. Find the TL and inclination of any one of the legs w.r.t the ground.
5. Three pegs are arranged on a flat ground on the circumference of a circle of diameter 3000 mm. The pegs when joined by straight lines form an equilateral triangle. A post 6000 mm high is fixed vertically on the ground at the centre of the circle. The pegs are connected to the top of the post by tight ropes. Find the TL and inclination of all the ropes with the ground. (R09ECE june2010set3)
6. A Four pegs are fixed one at each corner of a regular pentagon of 1500 mm side drawn on a flat ground. A post 5000 mm high is fixed erect on the blank corner of the pentagon. The tip of the post is connected to each peg by a tight rope. Find the TL and inclinations of each rope.
7. Two pillars A and B 8 m and 6 m high are separated by a distance of 8 m as seen in the view from the front as measured parallel to XY. In the view from the left they appear to be separated by a distance of 5 m as measured perpendicular to XY. A wire is tightly tied to the top ends of the poles A and B. Find the true length of the wire. (R09ECE june2010set1)
8. A line PQ 75 mm long , has its end P in the V.P. and the end Q in the H.P. The line is inclined at 30° to the H.P. and at 60° to the V.P. Draw its projections.
A line AB, 75 mm long is in the second quadrant with the end A in the H.P. and the end B is in the V.P. The line is inclined at 30° to the H.P. and at 45° to the V.P. Draw the projections of AB and determine its traces.
9. The front view of a line AB measures 65 mm and makes an angle of 45° with XY. A is in the H.P. and the V.T. of the line is 15 mm below the H.P. The line is inclined at 30° to V.P. Draw the projections of AB and find its true length and inclination with the H.P. Also locate its H.T.
10. A line PQ, 100 mm long, is inclined at 45° to the H.P. and at 30° to the V.P. Its end P is in the second quadrant and Q is in the fourth quadrant. A point R on PQ, 40 mm from P is in both the planes. Draw the projections of the PQ.
PROJECTIONS OF PLANES:
1. A semicircular plate of 80 mm diameter has its straight edge in the V.P. and inclined at 45° to the H.P. The surface of the plate makes an angle of 30° with the V.P. Draw the projections.
2. Draw the projections of a circle of 80 mm diameter having the end A of the diameter AB in the H.P. the end B in the V.P. and the surface is inclined at 30° to the H.P. & 60° to the V.P.
3. ABCDE is a regular pentagonal plate of 40 mm side and has its corner A on H.P. The plate is inclined to H.P. such that the top view lengths of edges AB and AE are each 35 mm. The side CD is parallel to the both the reference planes. Draw the projections of the plate and find its inclination with H.P.
4. A circular plane of 60mm diameter, rests on V.P on a point A on its circumference. Its plane is inclined at 45° to V.P. Draw the projections of the plane when
(a) The front view of the diameter AB makes 30° with H.P. and
(b) The diameter AB it self makes 30° with H.P. (EEE, May.2008 Reg. Set:2)
5. A plate having shape of an isosceles triangle has a base of 50mm long and altitude 70 mm. It is so placed that in the front view it is seen as an equilateral triangle of 50 mm sides one side is inclined at 45° to XY. Draw its top view. . (IT,May. 2008 Reg. Set:4)
PROJECTIONS OF SOLIDS:
1. A tetrahedron of 5 cm long edges is resting on the ground on one of its faces, with an edge of that face parallel to the V.P. Draw its projections and measure the distance of its apex from the ground.
2. Draw the projections of a square pyramid having one of its triangular faces in the V.P. and the axis parallel to and 40 mm above the H.P. base 30 mm side, axis 75 mm long.
3. Draw the projections of a cone, base 50 mm diameter and axis 75 mm long lying on a generator on the ground with the top view of the axis making an angle of 45° with the V.P.
4. Draw the projections of a hexagonal prism of base 25 mm and axis 60 mm long, when it is resting on one of its corners of the base on H.P. The axis of the solid is inclined at 45° to H.P.
5. A hexagonal pyramid base 25 mm side and axis 50 mm long has an edge of its base on the ground. Its axis is inclined at 30° to the ground and parallel to the V.P. Draw its projections