(Common to all Branches)
Time: 3 hrs
Maximum Marks: 70
Instructions:
- Write seat no. and enrolment number on question paper.
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
- Retain all the construction/projection lines.
- Figure drawn in the question paper is not to the scale.
1. a) Define Representative Fraction. Construct a plain scale of R.F.= 1:50 to show meters and decimeters and long enough up to 8 metre. Indicate 6.7 m distance on scale. 4 marks
Ans: Refer problem 4.1 page 4.4 ED - Basant Agrawal, TMH.
1. b) Explain (i) Systems of Dimensioning, (ii) Importance of Sections of solids. 4 marks
Ans: Refer article 2.12 page 2.8 and article 12.1 page 12.1 ED - Basant Agrawal, TMH.
1. c) Construct an ellipse when the distance of the focus from the directrix is equal to 60 mm and eccentricity is 2/3. 6 marks
Ans: Refer problem 5.1 page 5.6 ED - Basant Agrawal, TMH.
2. a) Construct Isometric scale. 2 marks
Ans: Refer Fig. 15.4 page 15.4 ED - Basant Agrawal, TMH.
2. b) Figure-1 shows front view and top view of an object. Draw isometric view. 5 marks
Ans: Refer Fig. 15.47(b) page 15.22 ED - Basant Agrawal, TMH.
2. c) An inelastic string 150 mm long has its one end attached to the circumference of a circular disc of 35 mm diameter. Draw the curve traced out by other end of the string, when it is completely wound round the disc, keeping always tight. Name the curve. 7 marks
Ans: Refer problem 6.12 page 6.11 ED - Basant Agrawal, TMH.
Ans: Refer problem 6.2 page 6.2 ED - Basant Agrawal, TMH.
Ans: Refer problem 9.16 page 9.18 ED - Basant Agrawal, TMH.
3. (b) In a slider crank mechanism the connecting rod AB is 120 mm long and crank OA is 40 mm long. The end B moves along the straight line passing through O. Trace the locus of point P, 45 mm from A, along the connecting rod for one revolution of crank OA. 7 marks
Ans: Refer problem 6.20 page 6.20 ED - Basant Agrawal, TMH.
3. (a) A line PQ, 80 mm long has its end P 15 mm above the H.P. Line makes an angle of 30° with the H.P. and 45° with the V.P. End Q of the line is 10 mm in front of V.P. Draw the projections of the line considering it in first quadrant. 7 marks
Ans: Refer problem 9.15 page 9.15 ED - Basant Agrawal, TMH.
3. (b) A circular disc of diameter AB = 90 mm, rotates with uniform angular velocity. The point P which is at A, moves with uniform linear velocity and reaches the point B, when the disc completes one revolution. Trace the locus of point P moving from A to B. 7 marks
Ans: Refer article 6.8 page 6.6 archemedian spiral ED - Basant Agrawal, TMH.
Ans: Similar to problem 10.14 page 10.16 ED - Basant Agrawal, TMH.
Ans: Refer problem 12.60 page 12.50 ED - Basant Agrawal, TMH.
Ans: Similar to problem 10.22 page 10.23 ED - Basant Agrawal, TMH. Make figure upside down, i.e. top view of the figure as front view and front view as the top view.
Ans: Refer problem 11.38 pae 11.40 ED - Basant Agrawal, TMH.
Ans: Refer article 7.8 page 7.5 ED - Basant Agrawal, TMH.
Ans: Refer problem 12.31(b) page 12.31 ED - Basant Agrawal, TMH.
Ans: Refer article 7.15 page 7.10 ED - Basant Agrawal, TMH.
5. b) A right circular cylinder of 70 mm diameter and 90 mm height is standing on its base. A hole of 45 mm diameter is cut through it in such a way that the axis of the hole is parallel to H.P. and perpendicular to V.P. and bisecting the axis of the cylinder. Develop the surface of cylinder. 7 marks
Ans: Similar to 13.23 page 13.21 ED - Basant Agrawal, TMH.