Time
Allowed: three Hours
Maximum Marks: 200
Candidates should attempt Questions 1 and 5
which are compulsory, and any THREE of the remaining questions selecting at
least ONE question from each Section. Assume suitable data, if considered
necessary, and indicate the same clearly. Newton may be converted to kg using
the relation 1 kilonewton (1 kN) = 100 kg if found necessary.
SECTION B
(a) (i) Explain the differences between tolerance and allowance.
(ii) Discuss the terms ‘roughness’ weaviness’ and ‘lay’
(b)
(i) Why is springback important in cold forming?
(ii) Why most press forging often employ heated dies?
(iii) What is 3-2-1 concept related to jig and fixture design?
(c)
(i) What are various types of valve? What do you
personally gain from value engineering?
(ii) Give some examples of waiting time situations existing in industry.
(d)
(i) Draw figure showing four waiting line structures.
(ii) What types of distributions are assumed for arrivals and services?
(iii) In a single channel waiting line if μ = λ, what will be the
utilization factor and mean waiting time for a customes before being served μ =
Av. No. of services provided per unit time and λ = Av. No. of arrivals per unit
time.
(ii) Name three types of plotters used in computers to produce hard copy.
(ii) What is meant by the following codes?
g 9 0
m 0 3
(b) DC servomotor is coupled
directly to a lead screw which drives the table of an NC machine tool. A
digital encoder, which emits 500 pulses per revolution, is mounted on the other
end of the lead screw. If the lead screw pitch is 5 mm and motor rotates at 800
rpm calculate.
(i)
The linear velocity of the table
(ii)
The basic length unit (BLU) of the N.C system
(iii)
The frequency of the pulses transmitted by the encoder.
1 pulse = 1 BLU.
(c)
(i) Explain with a figure stylus profile device
for measuring surface roughness.
(ii) How Ra (arithmetic mean) value of
surface roughness is defined.
|
Activity
|
Predecessor’s
Activity
|
Time
estimates (Weeks)
|
||
|
to
|
tm
|
tp
|
||
|
B. Build Facility
|
None
|
20
|
24
|
30
|
|
F. Safety Inspection
|
B
|
2
|
3
|
4
|
|
C. Install Equipment
|
B
|
8
|
16
|
20
|
|
D.Recruit Staff
|
None
|
2
|
2
|
3
|
|
E. Train Staff
|
D
|
4
|
5
|
6
|
|
A. Perform Pilot
|
C. E. F
|
6
|
5
|
9
|
(b) Solve the assignment problem represented by the matrix given below:
|
|
a
|
b
|
c
|
d
|
e
|
F
|
|
A
|
9
|
22
|
58
|
11
|
19
|
27
|
|
B
|
43
|
78
|
72
|
50
|
63
|
48
|
|
C
|
41
|
28
|
91
|
37
|
45
|
33
|
|
D
|
74
|
42
|
27
|
49
|
39
|
32
|
|
E
|
36
|
11
|
57
|
22
|
25
|
18
|
|
F
|
3
|
56
|
53
|
31
|
17
|
28
|
(ii) Draw Merchant’s circular force diagram and write the assumptions.
(b) Solve the following linear programming problem:
Maximize z= 3x₁ +
2x₂ + 5x₃
Subject to
X₁ + 2X₂ + X₃ ≤ 430
3X₁ + 2X₃ ≤ 460
X₁ + X₂ ≤ 420
X₁ ≥ 0, X₂ ≥ 0, X₃ ≥ 0.
