| 1. | (a) |
The distance between two cities A and B is 300 km, its equivalent distance on the map is measures only 6 cms. What is the R.F.? Draw a diagonal scale to show hundreds of kilometres. Indicate on the scale of the following distances.
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| 525 kilometres, 313 kilometres and 258 kilometres | ||
| (b) | Construct an ellipse of circle method given the major axes to be 100 mm and minor axes 60 mm. | |
| (c) | Construct an Archimedean spiral of 1% convolution given that the greatest radius is 120 mm and the shortest radius to be 30 mm. | |
| 2. | (a) |
The distance from the end projectionsof a line PQ is 50 mm. A point P is 29 mm above HP and 22 mm behinf VP while a point Q is 40 mm below HP and 30 mm in front of VP. Draw the projections of the line and determine the true length and the true inclinations which the HP and VP.
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| (b) |
The ends of a line PQ are on the same projector. The end P is 30 mm below HP and 12 m behind VP. the end Q is 55 mm above HP and 45 mm in front of the VP. Determine the true length, traces of PQ and its inclinations with the two planes.
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| 3. | (a) |
A regular hexagonal plane of 40 mm side has a corner in the HP. Its surface is inclined at 45 degree to the HP and the top view of the diagonal through the corner, which is in HP makes an angle of 60 to the VP. Draw its projections.
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| (b) |
A thin rectangular plate of sides 60 mm x 30 mm has its shorter side in the VP and inclined at 30 degree to the HP project its top view, if its front view is a square of 30 mm long sides.
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| (c) |
A tetradegron of 75 mm long edges has one edge parallel to the HP and inclined at 45 degree to the VP while a face containing that edge is vertical. Draw its projections.
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| (d) |
Draw the projections of a cone, base 45 mm diameter and axis 60 mm long, when it is resting on the ground on a point on its base circle with the axis making an angle of 30 degree with the HP and its top view making 45 degree with the VP (use Auxillary Plane method).
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| 4. | (a) | A right circular cone base 50 mm diameter and height 60 mm long is resting on HP on its base. It is cut by a section plane perpendicular to both the HP and VP and 10 mm away from the axis. Draw its front view, top view and sectional side view. Name the curve obtained as a section. |
| (b) | A frustum of a square pyramid has its base 50 mm side, top 25 mm side and height 75 long. Draw the development of its lateral surface. Also draw the projections of the frustum (when its axis is vertical and a side of its base is parallel to VP) showing the line joining the mid point of a top edge of one face with the mid point of the bottom edge of the opposite face by the shortest both. | |
| (c) | A verical cone base 75 mm diameter and axis 110 mm long is penetrated by a horizontal cylinder of 50 mm diameter in such a way that both the solids envelope an imaginary common sphere and their axes intersect each other. Draw the projections of solids when their axes lie in a plane parallel to the VP. | |
| 5. | (a) | Draw the isometric projecton of the casting shown in two views in the ahead figure.
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| (b) | Draw the Orthographic projections of the block shown in figure.
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