Exercise [Projections of Planes]

EXERCISE

Perpendicular to both the planes.

1. A Triangular plane is in the form of an isosceles triangle having base with 30 mm side and altitude of 40 mm. It is kept in the first Quadrant such that the surface is perpendicular to both HP and VP. Draw its projections when the base is parallel to VP.

2. A thin Hexagonal plate of side 20 mm is perpendicular to both HP and VP. If the base of plate is 25 mm above draw its projections.

3. A semicircular plate of 45 mm diameter is perpendicular to both HP and VP. It is kept in such a way that its base is 50 mm above HP. Draw its projections.

Perpendicular to one plane and parallel to other

4. A square lamina of side 40 mm has its surface parallel to and 20 mm above HP. Draw its projections when a side is perpendicular to VP.

5. A Hexagonal plane of 30 mm side has its surface parallel to VP and 20 mm infront of it. Draw the projections when a side is perpendicular to HP.

6. A circular plane of 60 mm diameter has its centre 40 mm above HP and 35 mm infront of VP. The surface of the plane is parallel to HP. Draw its projections.

7. A composite plane of negligible thickness is made up of rectangle with sides 60 mm and 40 mm long and a semicircle on its longer side. The plane is situated in VP with one of its shorter side Parallel to VP. Draw its projections.

8. A pentagonal plane with 35 mm long side has its corner on HP and the side opposite to this corner is parallel to HP. The plane is parallel to and 20 mm infront of VP. Draw its projections and locate its traces.

Perpendicular to one plane and Inclined to other

9. A Pentagonal plane with 40 mm side has an edge on HP. The surface of the plane is inclined at 45° to HP and perpendicular to VP. Draw its projections.

10. A Rhombus of major and minor diagonals 60 mm and 40 mm long respectively is placed on one of the end points of the major diagonal such that the minor diagonal is perpendicular to VP and the surface is inclined at 60° to HP. Draw its projections. 

11. A Hexagonal plate with 30 mm side and negligible thickness has its surface perpendicular to HP nws and inclined at 45° to VP. Draw its projections when one of the sides of the plane is parallel 9H to and 15 mm infront of VP.

12. The top view of a plane whose surface is perpendicular to VP and inclined at 45° to HP is a circle with 60 mm diameter. Draw the projections of the plane and determine its true shape. 

13. A circular plane of 50 mm diameter has its plane vertical and inclined 40° to VP. Its centre is 40 mm above HP and 35 mm infront of VP. Draw its projections and mark the traces.

14. A pentagonal plane with a 30 mm side rests on HP on one of its corners with its surface perpendicular to VP and inclined at 30° to HP. Draw its projections when the side opposite to the corner on which it is resting is parallel to HP.

15. The topview of a plane whose surface is perpendicular to VP and inclined at 45° to HP appears as a regular hexagon with 30 mm side and with a side parallel to the reference line. Draw the projections of the plane and determine its true shape.

Inclined to both the planes

16. A regular Hexagonal plate of 36 mm side has one corner touching VP and another opposite corner touching HP. The plate is inclined at 55° to HP and 35° to VP. Draw the projections of the plate.

17. A regular pentagon ABCDE of 35 mm side has one edge AB on HP and inclined at 50° to VP. rood If the surface of the pentagonal plane makes 45° to HP, draw its projections.

18. Draw the projections of a hexagonal lamina of 30 mm side resting with one of its corners on HP stel such that the diagonal through that corner is inclined at 35° to VP and the surface of the lamina is inclined at 40° to HP.

19. A square lamina ABCD with 50 mm sides has its corner A in HP. Its diagonal AC is inclined at 45° to HP, while the diagonal BD is parallel to HP and inclined at 30° to VP. Draw its projections.

20. A semi-circular plate with 70 mm diameter has its straight edge in VP and inclined at 45° to HP. Draw the projections of the plate when its surface is inclined at 30° to VP.

21. A rectangular plate of size 60 mm x 40 mm rests on its shorter side in VP and the surface is inclined at 45° with VP. The longer side of the plane is inclined at 30° to HP. Draw its projections.

22. A Rhombus having 100 mm and 40 mm long diagonals has its smaller diagonal parallel to both the principal planes and the longer diagonal is inclined at 30° to HP. Draw its projections.

23. The front view of an isoscles triangle with 50 mm base and 70 mm altitude is an equilateral triangle with 50 mm side, whose one of the sides is inclined at 45° to the reference line. Draw its projections.

24. The top view of a square plane with 60 mm long diagonals appears as a rhombus of 60 mm and 45 mm long diagonals. One of the corners of the plane is in HP. Draw its projections when one of the diagonals is parallel to both the principal planes.