GTU 110013 Engineering Graphics Jan 2010 Question Paper

BE First Semester Exam
(Common to all Branches)
Time: 3 hrs
Maximum Marks: 70

Instructions:

1. Attempt all questions.
2. Make suitable assumptions wherever necessary and state them.
3. Figures to the right indicate full marks.
4. All dimensions shown in the figures are in mm.
5. Retain all Construction lines and show the required dimensions.
6. Take suitable scale whenever required and mention it clearly.
7. Figures drawn in the question paper is not to the scale.

1. Draw the front view, top view and left hand side view of the object given in figure 1. Use first angle projection method. 14 marks
Ans: Refer article 7.15 page 7.10 of ED - Basant Agrawal, TMH.

2. a) An athlete was asked to slide down a rope tied to a beam at a height of 8 meters above the ground. He takes 5 seconds to slide down with uniform velocity. The rope oscillates in a vertical plane, through an angle of 20º on either side of the plumb line and takes 5 seconds for one complete oscillation. Draw the path traced out by the athlete (assumed as a point). Use convenient scale. 7 marks
Ans: Refer problem 6.14 page 6.13 of ED - Basant Agrawal, TMH.
2. b) Draw an involute of a circular arc which subtends an angle of 90º at the centre of the circle of diameter 120 mm. 7 marks
Ans: Refer problem 6.4 page 6.5 of ED - Basant Agrawal, TMH.

OR

2. b). Draw an involute of a line of 10 mm for 5 turns. 7 marks
Ans: Refer article 6.6 page 6.5 of ED - Basant Agrawal, TMH.

3. An isosceles triangular plate ABC has its base 45 mm and altitude 60 mm. It is so placed that the front view is seen as an equilateral triangle of 45 mm side and (i) base is inclined at 45º to HP, (ii) side is inclined at 45º to HP. Draw its plan when its corner A is on HP. 14 marks
Ans: Refer problem 19 page 10.27 of ED - Basant Agrawal, TMH.

OR

3. A square pyramid, side of base 50 mm and height 64 mm, is freely suspended from one of the corners of the base. Draw its projection when vertical plane containing the axis makes an angle of 45º to VP. 14 marks
Ans: Refer problem 11.46 page 11.45 of ED - Basant Agrawal, TMH.

4. a) A tetrahedron of 50 mm long edges is lying on HP on one of its faces with one of its edges perpendicular to VP. It is cut by an A.I.P. so that the true shape of its section is an isosceles triangle of base 40 mm and altitude 28 mm. Find the inclination of the section plane with HP. Draw the front view, sectional top view and the true shape of the section. 7 marks
Ans: Refer problem 12.54 page 12.45 of ED - Basant Agrawal, TMH.
4. b) A right regular pentagonal prism, edge of base 20 mm and height 50 mm rests on its base with one of its base edges perpendicular to VP. An A.I.P. inclined to HP at 30º and perpendicular to the VP cuts its axis at a distance of 30 mm from the base. Develop the lateral surface of the truncated prism. 7 marks
Ans: Refer problem 13.2 page 13.3 of ED - Basant Agrawal, TMH.

OR

4. a) A solid made of half cone, diameter of base 60 mm, and half hexagonal pyramid, side of base 30 mm, is having 60 mm height. It is resting on HP on its base with middle edge of base perpendicular to VP. It is cut by an AIP inclined at 30º to HP, passing through a point on axis 12 mm above the base. Draw elevation, plan and true shape of the section. 7 marks
Ans: Similar to problem 12.29 page 12.30 of ED - Basant Agrawal, TMH.
4. b) A right circular cone, diameter of base 55 mm and height 80 mm rests on ground on its base. A bee starts from right hand of its base rim and moves around the surface of the cone and finally comes back to the starting point. Find the length of the shortest path the bee should take in covering the distance along the surface of the cone. Also show the path in front and top
views. 7 marks
Ans: Refer problem 13.48 page 13.42 of ED - Basant Agrawal, TMH.

5. a) Draw the isometric projection and isometric drawing of a sphere of diameter 50 mm placed on a cylinder of base 60 mm diameter and height 30 mm. 7 marks
Ans: Refer problem 15.21 page 15.16 of ED - Basant Agrawal, TMH.
5. b) Draw the isometric view for the orthographic projection given below in figure 2. 7 marks
Ans: Refer article 15.14 page 15.18 of ED - Basant Agrawal, TMH.