SPPU Mechanical Engineering (Semester 7)
December 2013
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

Answer any one question from Q1 and Q2
1 (a) Write generalized 2D homogeneous transformation matrix and its forms.
5 M
1 (b) A triangle PQR having co-ordinate points P(10, 15), Q (40,15) and R (30,50). The triangle is to be reflected about arbitrary line y = 0.4x+2. Determine concatenated transformation matrix and new co-ordinate points of the triangle.
8 M
1 (c) What is computer graphics, explain need for mapping of geometric models.
5 M

2 (a) Explain different type of co ordinate systems used in computer graphics.
5 M
2 (b) A rectangle ABCD having co-ordinate points A (10,10), B (40,10) C (40,30) and D (10,30). Perform the following operations in sequence:
i) Mirrored about arbitrary line y = x and
ii) Rotate by 30° about arbitrary point 'A'.
Write concatenated transformation matrix and new co-ordinate points of the rectangle.
8 M
2 (c) Explain the general features of Open GL.
5 M

Answer any one question from Q3 and Q4
3 (a) Compare Explicit and Implicit representation of curves and Enlist limitations of parametric representation over non parametric representations.
6 M
3 (b) Given two lines L1 and L2, end points for L1 are P1(2, 4, 6) and P2 (5, 6, 2) and end points for L2 are L3 (1, 5, -2) and P4 (2, 8, 1). Determine:
i) Parametric equations of the lines.
ii) Unit vectors in the direction of the lines.
iii) Are the two lines parallel / perpendicular?
10 M

4 (a) Compare between feature based modelling and B-rep modelling techniques.
6 M
4 (b) Plot the Bezier curve having end points P0 (2, 2, 0) and P3(3, 2, 0). The other points are P1(2, 3, 0) and P2(3, 3, 0). Plot for the value of u = 0.0 0.2, 0.4, 0.6, 0.8, and 1.0.
10 M

Answer any one question from Q5 and Q6
5 (a) Derive an elemental stiffness matrix for two node 1D bar element.
6 M
5 (b) Determine the nodal displacements, stresses in each element and support reactions of the axially loaded bar as shown in figure 1. Take E = 200 GPa and P = 30 kN.

10 M

6 (a) Explain the assembly of elemental equations and optimal node numbering system.
6 M
6 (b) The plane truss shown in figure 2 subjected to a downward vertical load at node 2. The cross sectional area of both the element is 30 mm2 and E = 2.1 x 105 N/mm2.
Determine:
i) Nodal displacements.
ii) Stresses in each element.
iii) Reaction force at the supports.

10 M

Answer any one question from Q7 and Q8
7 (a) Explain the term 'Adaptive control system' with suitable example.
6 M
7 (b) Write a CNC program in G and M codes for drilling the three holes in part as shown in the fig3, also write remark for each block.

12 M

8 (a) Write a CNC part program for the component as shown in Figure 4, by using G and M codes for Fanuc controller. Use canned cycle for roughing, finishing and threading operations. Raw materials size is φ45×60mm. Assume suitable machining data for machining of mild steel (feed, speed, coolant etc.).

12 M
8 (b) Write a short note on CIM.
6 M

Answer any one question from Q9 and Q10
9 (a) Define Automation. What are the different strategies in Automation?
8 M
9 (b) With neat sketch explain different layouts used in FMS?
8 M

10 (a) Write a short note on Automated guided vehicles.
8 M
10 (b) State various work part transfer mechanism. Explain Geneva Mechanism with neat sketch.
8 M

Answer any one question from Q11 and Q12
11 (a) Explain the criteria for gripper design.
4 M
11 (b) Explain the rules for gripper design.
4 M
11 (c) Compare pneumatics, hydraulics and electrical actuators w.r.t. following points.
i) Weight
ii) Power to weight ratio
iii) Operating pressure
iv) Stiffness
v) Compliance
vi) Resolution
vii) Cost.
viii) Ease of operation.
8 M

12 (a) Explain the three degrees of freedom associated with the end effector (wrist) of Industrial Robot.
8 M
12 (b) Explain the following terms: