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Compulsory Three Five: Use of Graph Paper Is Allowed

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0% found this document useful (0 votes)
16 views14 pages

Compulsory Three Five: Use of Graph Paper Is Allowed

Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Paper / Subject Code: 32621 / Mechanical Measurements & Controls

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1T01435 - T.E.(Mechanical) Engineering)(SEM-V)(Choice Base Credit Grading System ) ((R- 19) (C

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Scheme) / 32621 - Mechanical Measurements & Controls

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QP CODE: 10028692 DATE: 23/05/2023.

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Time: 3 Hours Total Marks: 80

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N.B: 1) Question No. 1 is compulsory.

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2) Attempt any THREE questions out of remaining FIVE questions.

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4) Use of Graph paper is allowed.

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5) Figures to the right indicate full marks.

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1. Answer of the following questions(any Four). 20

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i) Define wavelength standard and state the significance of using it.

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10

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3

5A
8

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ii) Explain different types of fits with suitable examples and sketches

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08

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66

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iii) Differentiate between roughness and waviness.
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iv) Define and explain i) Resolution; ii) Threshold; iii) Hysteresis

3
6

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v) Briefly explain the construction and working of a strain gauge load cell.

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vi) Using Routh’s criterion examine the stability of a control system whose characteristic
39

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equation is S5 + S4 + 2S3 + 2S2 + 3S + 15 = 0

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2. (A) Define Interferometry. Explain Laser Interferometer with neat sketch.


5

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(B) Reduce the given block diagram to a it’s canonical form and hence obtain equivalent 10
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𝑪(𝒔)
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transfer function, 𝑹(𝒔).

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3. (A) Explain generalized measurement system elements with block diagram. Describe 10
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functions with suitable examples.


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(B) A unity feedback system has 𝑮(𝒔) = 10


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𝑺(𝟐+𝑺)(𝟒+ 𝑺)
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a. If r(t)= 2t and K= 4, find steady state error.


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b. If it is desired to have steady state error to be 0.4, find corresponding value of “K”
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c. Find steady state error if input is changed to 2+6t, and value of K to 10.
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that:
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6. Write short note on (any Four)


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transfer function as follows:

Ultrasonic Flow Meter


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Floating Carriage Micrometer


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Tolerance for hole = 25 i
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Capacitive Pressure Transducer


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Frequency Domain specifications


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Repeatability and Reproducibility


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i = 0.40 D1/3 + 0.001D micron

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Types of Measurement System Inputs


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Page 2 of 2
80 A9
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𝐆(𝐬)𝐇(𝐬) =

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Wear allowance 10% of gauge design

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absolute optical encoder. Give examples of their use.

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𝑲

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4. (A) Explain principle, construction and working of Parkinson Gear Tester

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Paper / Subject Code: 32621 / Mechanical Measurements & Controls

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(B) Design a general type of Go and No Go plug gauge for inspecting a hole 25 d8. Given 10
10
(B) Draw the root locus and comment on the stability of the control system having open loop 10
10

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Paper / Subject Code: 32621 / Mechanical Measurements & Controls

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1T01435 - T.E.(Mechanical) Engineering)(SEM-V)(Choice Base Credit Grading System ) ((R-20-21) (C Scheme) / 32621 -

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Mechanical Measurements & Controls Time: 3 Hours Total Marks: 80

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QP CODE: 10013250 DATE: 22/11/2022

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N.B: 1) Question No. 1 is compulsory.

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2) Attempt any THREE questions out of remaining FIVE questions

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3) Assume suitable data wherever necessary.

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4) Use of Graph paper is allowed.

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5) Figures to the right indicate full marks

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1. Answer the following questions.

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i) Distinguish between Line, End and Wavelength Standard.

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ii) Distinguish between open loop and closed loop control system with suitable

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examples. E

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iii) Explain working LVDT with neat sketch.

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While measuring the speed of steam turbine with stroboscope, stationary image was
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observed for three consecutive stroboscope settings of 3000, 4000 and 5250 flashes

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per minute. Calculate the rotational speed of turbine.

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2. (A) Reduce the following block diagram and find the transfer function. 10
BD
3

BF

41
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24
0
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41

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12

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(B) What is Taylors principle, explains in detail? Write note on Hole Basis System and 10
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Shaft Basis System.


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3. (A) For a particular unity feedback system 10


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𝐺(𝑠) =
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𝑆(𝑆 + 1)(𝑆 + 5))


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1

Sketch the Bode Plot, Find 𝜔𝑔𝑐 , 𝜔𝑝𝑐 , GM and PM. Comment on stability.
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(B) b) A unity feedback system characterized by an open loop transfer function 10


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𝐺(𝑠) =
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𝑆(𝑆 + 2)(𝑆 2 + 4𝑆 + 5))


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Determine the gain K. so that the system will be stable.


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ii)
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iii)
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interferometer.

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3 0 7

Tomlinson surface meter .


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3

Optical encoder
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Two wire method


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(B) Write short note on (any Two)


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Parkinson’s gear tester


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𝐺(𝑠)𝐻(𝑠) =

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5. (A) Draw the Root-Locus of the system having

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𝑆(𝑆 + 5)(𝑆 + 10)

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Paper / Subject Code: 32621 / Mechanical Measurements & Controls

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suggest method to minimize the effect of Modifying & Interfering inputs.

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4. (A) Explain principle of interference. How flatness can be checked with help of optical

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principle. State one major advantage and disadvantage of this instrument over

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10
6. (A) What are the different elastic transducers used for pressure measurement? Illustrate 10
(B) Draw neat labelled diagram of Taylor Hobson Talysurf and briefly explain working 10
(B) What are desired, Modifying, Interfering input? Explain with example of each. Also 10

10
10

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QP CODE: 10013250

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a)

b)
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a)

b)
b)
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7 4 5 3 2 17 0 9C 7 4 2 F 8 8 0 2 6 7 E 5 32 1 7 0 9
8 1
A7 E 13 01 E0 9 57 72 C B8 F F2 A7 4E 13 01 E 89 C57 7472
4E 513 201 7E 89 C57 47 FC 8B 1F 0F2 6A 4E 513 20 7E 089 C5 47 FC
51 20 7E 08 C5 47 2FC 8B 81F 0F 6A 74 51 20 17E 08 C5 747 2F 8B
32 17 08 9C 74 2F 8 81 0 26 74 E5 32 17 0 9C 74 2F C8 8

that the
01 E0 9C 57 72 C B8 F0 F2 A7 E 13 01 E0 89 57 72 C B8 1F
7E 89 5 47 FC 8B 1F F 6A 4E 51 20 7E 89 C5 47 FC 8B 1F 0F
08 C5 747 2F 8B 81 0F 26A 74 51 320 17 08 C 74 2F 8 81 0F 26
9C 74 2F C8 8 F0 26 7 E5 32 17 E0 9C 57 72 C8 B8 F0 26 A7

J = 1 kg-m2.
57 72 C B8 1F0 F2 A7 4E 13 01 E0 89 57 472 FC B8 1F F2 A 4E
47 FC 8B 1F F2 6A 4E 51 20 7E 89 C5 47 FC 8B 1F 0F 6A 74 51
2F 8B 81 0F 6A 74 51 32 17 08 C 74 2F 8 81 0F 26 74 E5 32

sec. Assume that


C8 8 F0 26 7 E5 32 01 E0 9C 57 72 C8 B8 F0 26 A7 E5 13 01

and damping ratio.


B8 1F0 F2 A7 4E 13 01 7E0 89 57 472 FC B8 1F F2 A 4E 13 201 7E
Instructions:

1F F2 6A 4E 513 20 7E 89 C5 47 FC 8B 1F 0F2 6A 74E 51 20 7E 089


0F 6A 74 51 20 17E 08 C5 747 2F 8B 81 0F 6A 74 51 32 17 08 C
26 74 E5 32 17 0 9C 74 2F C8 81 F0 26 7 E5 32 017 E0 9C 574

pressure measurement.
A7 E 13 01 E0 89 57 72 C B8 F F2 A7 4E 13 01 E 89 57 72
4E 513 201 7E 89 C57 47 FC 8B 1F 0F2 6A 4E 513 20 7E 089 C5 47 FC
51 20 7E 08 C5 47 2FC 8B 81F 0F 6A 74 51 20 17E 08 C5 747 2F 8B

𝑑𝑡 2
32 17 08 9C 74 2F 8 81 0 26 74 E5 32 17 0 9C 74 2F C8 8
01 E0 9C 57 72 C B8 F0 F2 A7 E 13 01 E0 89 57 72 C B8 1F

modelling of a control system.


7E 89 5 47 FC 8B 1F F 6A 4E 51 20 7E 89 C5 47 FC 8B 1F 0F
08 C5 747 2F 8B 81 0F 26A 74 51 320 17 08 C 74 2F 8 81 0F 26
9C 74 2F C8 8 F0 26 7 E5 32 17 E0 9C 57 72 C8 B8 F0 26 A7
57 72 C B8 1F0 F2 A7 4E 13 01 E0 89 57 472 FC B8 1F F2 A 4E
47 FC 8B 1F F2 6A 4E 51 20 7E 89 C5 47 FC 8B 1F 0F 6A 74 51
1. Question 1 compulsory.

𝑑𝑡
2F 8B 81 0F 6A 74 51 32 17 08 C 74 2F 8 81 0F 26 74 E5 32
C8 8 F0 26 7 E5 32 01 E0 9C 57 72 C8 B8 F0 26 A7 E5 13 01
B8 1F0 F2 A7 4E 13 01 7E0 89 57 472 FC B8 1F F2 A 4E 13 201 7E
1F F2 6A 4E 513 20 7E 89 C5 47 FC 8B 1F 0F2 6A 74E 51 20 7E 089
0F 6A 74 51 20 17E 08 C5 747 2F 8B 81 0F 6A 74 51 32 17 08 C
26 74 E5 32 17 0 9C 74 2F C8 81 F0 26 7 E5 32 017 E0 9C 574

Page 1 of 2
A7 E 13 01 E0 89 57 72 C B8 F F2 A7 4E 13 01 E 89 57 72
4. Figures/sketches carry weightage.
3. Assume suitable data, if necessary.

4E 513 201 7E 89 C57 47 FC 8B 1F 0F2 6A 4E 513 20 7E 089 C5 47 FC


i) Span and Range ii) Drift and Threshold

51 20 7E 08 C5 47 2FC 8B 81F 0F 6A 74 51 20 17E 08 C5 747 2F 8B

Illustrate the working of Ultrasonic flow meters.


32 17 08 9C 74 2F 8 81 0 26 74 E5 32 17 0 9C 74 2F C8 8
01 E0 9C 57 72 C B8 F0 F2 A7 E 13 01 E0 89 57 72 C B8 1F
7E 89 5 47 FC 8B 1F F 6A 4E 51 20 7E 89 C5 47 FC 8B 1F 0F
(3 Hours)

08 C5 747 2F 8B 81 0F 26A 74 51 320 17 08 C 74 2F 8 81 0F 26


9C 74 2F C8 8 F0 26 7 E5 32 17 E0 9C 57 72 C8 B8 F0 26 A7
57 72 C B8 1F0 F2 A7 4E 13 01 E0 89 57 472 FC B8 1F F2 A 4E
47 FC 8B 1F F2 6A 4E 51 20 7E 89 C5 47 FC 8B 1F 0F 6A 74 51
2F 8B 81 0F 6A 74 51 32 17 08 C 74 2F 8 81 0F 26 74 E5 32

2FC8B81F0F26A74E5132017E089C5747
stability criterion , determine the range of “k” for stability.

C8 8 F0 26 7 E5 32 01 E0 9C 57 72 C8 B8 F0 26 A7 E5 13 01
B8 1F0 F2 A7 4E 13 01 7E0 89 57 472 FC B8 1F F2 A 4E 13 201 7E
1F F2 6A 4E 513 20 7E 89 C5 47 FC 8B 1F 0F2 6A 74E 51 20 7E 089
0F 6A 74 51 20 17E 08 C5 747 2F 8B 81 0F 6A 74 51 32 17 08 C
26 74 E5 32 17 0 9C 74 2F C8 81 F0 26 7 E5 32 017 E0 9C 574
A7 E 13 01 E0 89 57 72 C B8 F F2 A7 4E 13 01 E 89 57 72
c) Explain the following terms with respect to the measuring system:

4E 513 201 7E 89 C57 47 FC 8B 1F 0F2 6A 4E 513 20 7E 089 C5 47 FC


51 20 7E 08 C5 47 2FC 8B 81F 0F 6A 74 51 20 17E 08 C5 747 2F 8B
32 17 08 9C 74 2F 8 81 0 26 74 E5 32 17 0 9C 74 2F C8 8
Illustrate the working principle of Optical Encoder with a neat sketch

01 E0 9C 57 72 C B8 F0 F2 A7 E 13 01 E0 89 57 72 C B8 1F
7E 89 5 47 FC 8B 1F F 6A 4E 51 20 7E 89 C5 47 FC 8B 1F 0F
b) Differentiate between open loop and closed loop system with examples.

08 C5 747 2F 8B 81 0F 26A 74 51 320 17 08 C 74 2F 8 81 0F 26


2. Attempt any three questions from the remaining five questions.

9C 74 2F C8 8 F0 26 7 E5 32 17 E0 9C 57 72 C8 B8 F0 26 A7
What is the error if the exact formula is used for measurement of pressure?

57 72 C B8 1F0 F2 A7 4E 13 01 E0 89 57 472 FC B8 1F F2 A 4E
Paper / Subject Code: 32602 / Mechanical Measurements & Control

a) Explain the constructional features and working of a “Ionization Gauge” for

47 FC 8B 1F F2 6A 4E 51 20 7E 89 C5 47 FC 8B 1F 0F 6A 74 51
Explain the construction and working of a Nozzle Flapper with a neat sketch

2F 8B 81 0F 6A 74 51 32 17 08 C 74 2F 8 81 0F 26 74 E5 3
C8 8 F0 26 7 E5 32 01 E0 9C 57 72 C8 B8 F0 26 A7 E5 13
B8 1F0 F2 A7 4E 13 01 7E0 89 57 472 FC B8 1F F2 A 4E 13 2 Illustrate the constructional features and working of LVDT with a neat sketch
1F F2 6A 4E 513 20 7E 89 C5 47 FC 8B 1F 0F2 6A 74E 51 20
Consider the characteristic equation s4 +2s3+(4+k)s2+9s+25=0 , using the Hurwitz

c) A system is described by 𝑑2 𝑦 + 10 𝑑𝑦 + 30 y (t) =60 x(t) , find the natural frequency


0F 6A 74 51 20 17E 08 C5 747 2F 8B 81 0F 6A 74 51 32 1
Determine the values, of “K” and “k” of the closed-loop system shown in figure so
Illustrate the terms state variables and state space with reference to state space

maximum overshoot in unit-step response is 25% and the peak time is 2


26 74 E5 32 17 0 9C 74 2F C8 81 F0 26 7 E5 32 017
and measuring capillary diameter of 1 mm. Calculate the pressure indicated when the
reading of the measuring capillary is 30 mm in case approximate formula is used.
A McLeod Gauge has volume of bulb and measuring capillary V= 100 × 10−6 m3
[Total

A7 E 13 01 E0 89 57 72 C B8 F F2 A7 4E 13 01
4E 513 201 7E 89 C57 47 FC 8B 1F 0F2 6A 4E 513 20 7E
51 20 7E 08 C5 47 2FC 8B 81F 0F 6A 74 51 20 17E
32 17 08 9C 74 2F 8 81 0 26 74 E5 32 17 0

05
06
06
08
04
08
08
06
06
08

08
07

01 E0 9C 57 72 C B8 F0 F2 A7 E 13 01 E0 8
7E 89 5 47 FC 8B 1F F 6A 4E 51 20 7E 89
08 C5 747 2F 8B 81 0F 26A 74 51 320 17 08
9C 74 2F C8 8 F0 26 7 E5 32 17 E0 9C
57 72 C B8 1F0 F2 A7 4E 13 01 E0 89
19-Nov-2019 1T01425 - T.E (Mechanical Engineering) (SEM-V)(Choice Base) / 32602 - Mechanical Measurements &

47 FC 8B 1F F2 6A 4E 51 20 7E 89 C5
2F 8B 81 0F 6A 74 51 32 17 08 C 7
C8 8 F0 26 7 E5 32 01 E0 9C 57
B8 1F0 F2 A7 4E 13 01 7E0 89 57 4
1F F 6A 4 51 20 7E 8 C5 47
2F 8B 81 0F 6A 74 51 2 17 08
0 E
FC C8B 81F F0F2 26A 74E E513 320 17E 089 9C5
8 8 0 6 7 5 1 7
C8 B8 1F0 F26 A7 4E5 132 201 7E0 089C C57 472
B8 1F0 F2 A7 4E 13 01 7E0 89 57 472 FC
8B 1F F 6A 4E 51 20 7E 8 C5 47 F 8B
81 0 26 7 5 32 17 0 9C 74 2 C8 8
81 F0F F26AA74 4E51 132 017 E08 89C 574 72F FC8 B81 1F0F
F 0 E 5 7 B

Q.5
1F 0F2 26A 74E E513 320 17E 089 9C5 747 2FC C8B 81F F0F2 26A
7 1 7 2

Q6)
0 0 8
F0 F26 6A7 4E5 5132 201 7E0 89C C57 472 FC8 8B8 1F0 0F26 6A7 74E5
F 4 7 8 4 F 1

77512
0F 26AA74 E51 1320 017E E08 9C5 5747 72F C8B B81 F0F F26AA74 4E51 132
a)

b)

a)
26 74 E5 32 17 0 9C 74 2F C8 81 F0 26 7 E5 32 017
26 A74 E5 132 017 E0 89C 574 72F C8 B81 F0 F26 A7 4E5 132 017 E0
A 1 8 F 4 8
6A 74E E51 320 017E E08 9C5 5747 72FC C8B B81F F0F 26AA74 E51 1320 017E E08 9C5
7 4 5 3 2 17 0 9C 7 4 2 F 8 8 0 2 6 7 E 5 32 1 7 0 9
8 1
A7 E 13 01 E0 9 57 72 C B8 F F2 A7 4E 13 01 E 89 C57 7472
4E 513 201 7E 89 C57 47 FC 8B 1F 0F2 6A 4E 513 20 7E 089 C5 47 FC
51 20 7E 08 C5 47 2FC 8B 81F 0F 6A 74 51 20 17E 08 C5 747 2F 8B
32 17 08 9C 74 2F 8 81 0 26 74 E5 32 17 0 9C 74 2F C8 8

equation
01 E0 9C 57 72 C B8 F0 F2 A7 E 13 01 E0 89 57 72 C B8 1F
7E 89 5 47 FC 8B 1F F 6A 4E 51 20 7E 89 C5 47 FC 8B 1F 0F
08 C5 747 2F 8B 81 0F 26A 74 51 320 17 08 C 74 2F 8 81 0F 26
9C 74 2F C8 8 F0 26 7 E5 32 17 E0 9C 57 72 C8 B8 F0 26 A7
57 72 C B8 1F0 F2 A7 4E 13 01 E0 89 57 472 FC B8 1F F2 A 4E
47 FC 8B 1F F2 6A 4E 51 20 7E 89 C5 47 FC 8B 1F 0F 6A 74 51
2F 8B 81 0F 6A 74 51 32 17 08 C 74 2F 8 81 0F 26 74 E5 32
C8 8 F0 26 7 E5 32 01 E0 9C 57 72 C8 B8 F0 26 A7 E5 13 01
B8 1F0 F2 A7 4E 13 01 7E0 89 57 472 FC B8 1F F2 A 4E 13 201 7E of magnitude “5”.
1F F2 6A 4E 513 20 7E 89 C5 47 FC 8B 1F 0F2 6A 74E 51 20 7E 089
0F 6A 74 51 20 17E 08 C5 747 2F 8B 81 0F 6A 74 51 32 17 08 C
26 74 E5 32 17 0 9C 74 2F C8 81 F0 26 7 E5 32 017 E0 9C 574
A7 E 13 01 E0 89 57 72 C B8 F F2 A7 4E 13 01 E 89 57 72
4E 513 201 7E 89 C57 47 FC 8B 1F 0F2 6A 4E 513 20 7E 089 C5 47 FC
51 20 7E 08 C5 47 2FC 8B 81F 0F 6A 74 51 20 17E 08 C5 747 2F 8B
32 17 08 9C 74 2F 8 81 0 26 74 E5 32 17 0 9C 74 2F C8 8
01 E0 9C 57 72 C B8 F0 F2 A7 E 13 01 E0 89 57 72 C B8 1F
7E 89 5 47 FC 8B 1F F 6A 4E 51 20 7E 89 C5 47 FC 8B 1F 0F
08 C5 747 2F 8B 81 0F 26A 74 51 320 17 08 C 74 2F 8 81 0F 26
9C 74 2F C8 8 F0 26 7 E5 32 17 E0 9C 57 72 C8 B8 F0 26 A7
57 72 C B8 1F0 F2 A7 4E 13 01 E0 89 57 472 FC B8 1F F2 A 4E
47 FC 8B 1F F2 6A 4E 51 20 7E 89 C5 47 FC 8B 1F 0F 6A 74 51
2F 8B 81 0F 6A 74 51 32 17 08 C 74 2F 8 81 0F 26 74 E5 32
C8 8 F0 26 7 E5 32 01 E0 9C 57 72 C8 B8 F0 26 A7 E5 13 01
B8 1F0 F2 A7 4E 13 01 7E0 89 57 472 FC B8 1F F2 A 4E 13 201 7E
1F F2 6A 4E 513 20 7E 89 C5 47 FC 8B 1F 0F2 6A 74E 51 20 7E 089
0F 6A 74 51 20 17E 08 C5 747 2F 8B 81 0F 6A 74 51 32 17 08 C
26 74 E5 32 17 0 9C 74 2F C8 81 F0 26 7 E5 32 017 E0 9C 574

Page 2 of 2
A7 E 13 01 E0 89 57 72 C B8 F F2 A7 4E 13 01 E 89 57 72
4E 513 201 7E 89 C57 47 FC 8B 1F 0F2 6A 4E 513 20 7E 089 C5 47 FC
51 20 7E 08 C5 47 2FC 8B 81F 0F 6A 74 51 20 17E 08 C5 747 2F 8B

***************
32 17 08 9C 74 2F 8 81 0 26 74 E5 32 17 0 9C 74 2F C8 8
For a system with unity feedback having , G(s) =

01 E0 9C 57 72 C B8 F0 F2 A7 E 13 01 E0 89 57 72 C B8 1F
7E 89 5 47 FC 8B 1F F 6A 4E 51 20 7E 89 C5 47 FC 8B 1F 0F
08 C5 747 2F 8B 81 0F 26A 74 51 320 17 08 C 74 2F 8 81 0F 26
9C 74 2F C8 8 F0 26 7 E5 32 17 E0 9C 57 72 C8 B8 F0 26 A7
𝑠2

57 72 C B8 1F0 F2 A7 4E 13 01 E0 89 57 472 FC B8 1F F2 A 4E
47 FC 8B 1F F2 6A 4E 51 20 7E 89 C5 47 FC 8B 1F 0F 6A 74 51
2F 8B 81 0F 6A 74 51 32 17 08 C 74 2F 8 81 0F 26 74 E5 32

2FC8B81F0F26A74E5132017E089C5747
C8 8 F0 26 7 E5 32 01 E0 9C 57 72 C8 B8 F0 26 A7 E5 13 01
B8 1F0 F2 A7 4E 13 01 7E0 89 57 472 FC B8 1F F2 A 4E 13 201 7E
1F F2 6A 4E 513 20 7E 89 C5 47 FC 8B 1F 0F2 6A 74E 51 20 7E 089
0F 6A 74 51 20 17E 08 C5 747 2F 8B 81 0F 6A 74 51 32 17 08 C
26 74 E5 32 17 0 9C 74 2F C8 81 F0 26 7 E5 32 017 E0 9C 574
800 (𝑠+2)

A7 E 13 01 E0 89 57 72 C B8 F F2 A7 4E 13 01 E 89 57 72
equivalent transfer function, for the block diagram shown below.

4E 513 201 7E 89 C57 47 FC 8B 1F 0F2 6A 4E 513 20 7E 089 C5 47 FC


(𝑠+10)𝑠+40)

51 20 7E 08 C5 47 2FC 8B 81F 0F 6A 74 51 20 17E 08 C5 747 2F 8B


Sketch Bode plot and determine G.M., P.M and comment on stability.

32 17 08 9C 74 2F 8 81 0 26 74 E5 32 17 0 9C 74 2F C8 8
01 E0 9C 57 72 C B8 F0 F2 A7 E 13 01 E0 89 57 72 C B8 1F
7E 89 5 47 FC 8B 1F F 6A 4E 51 20 7E 89 C5 47 FC 8B 1F 0F
20 (S+3)

08 C5 747 2F 8B 81 0F 26A 74 51 320 17 08 C 74 2F 8 81 0F 26


9C 74 2F C8 8 F0 26 7 E5 32 17 E0 9C 57 72 C8 B8 F0 26 A7
Reduce the given block diagram to its canonical form and hence obtain its

57 72 C B8 1F0 F2 A7 4E 13 01 E0 89 57 472 FC B8 1F F2 A 4E
Paper / Subject Code: 32602 / Mechanical Measurements & Control

47 FC 8B 1F F2 6A 4E 51 20 7E 89 C5 47 FC 8B 1F 0F 6A 74 51
2F 8B 81 0F 6A 74 51 32 17 08 C 74 2F 8 81 0F 26 74 E5 3
C8 8 F0 26 7 E5 32 01 E0 9C 57 72 C8 B8 F0 26 A7 E5 13
b) Obtain the state-space equation and output equation for the system defined by the

B8 1F0 F2 A7 4E 13 01 7E0 89 57 472 FC B8 1F F2 A 4E 13 2


1F F2 6A 4E 513 20 7E 89 C5 47 FC 8B 1F 0F2 6A 74E 51 20
type of the system (ii) static error co-efficients and steady state error for ramp input
A unity feedback system is represented by the equation G(S)= S(S+1)(S+4) , find (i)

0F 6A 74 51 20 17E 08 C5 747 2F 8B 81 0F 6A 74 51 32 1
26 74 E5 32 17 0 9C 74 2F C8 81 F0 26 7 E5 32 017
A7 E 13 01 E0 89 57 72 C B8 F F2 A7 4E 13 01
4E 513 201 7E 89 C57 47 FC 8B 1F 0F2 6A 4E 513 20 7E
51 20 7E 08 C5 47 2FC 8B 81F 0F 6A 74 51 20 17E
32 17 08 9C 74 2F 8 81 0 26 74 E5 32 17 0
10
10
10

10

01 E0 9C 57 72 C B8 F0 F2 A7 E 13 01 E0 8
7E 89 5 47 FC 8B 1F F 6A 4E 51 20 7E 89
08 C5 747 2F 8B 81 0F 26A 74 51 320 17 08
9C 74 2F C8 8 F0 26 7 E5 32 17 E0 9C
57 72 C B8 1F0 F2 A7 4E 13 01 E0 89
47 FC 8B 1F F2 6A 4E 51 20 7E 89 C5
2F 8B 81 0F 6A 74 51 32 17 08 C 7
C8 8 F0 26 7 E5 32 01 E0 9C 57
B8 1F0 F2 A7 4E 13 01 7E0 89 57 4
1F F 6A 4 51 20 7E 8 C5 47
7 16 9 A 8E 2 6C C9 B 43
7C C16 092 2A7 78E 12F F6C C9 1B1 143 A7
1 09 A 8E 12 6C C9 1B 4 A7 DA
16 6092 2A7 78E 12F F6C C9 1B 143 3A7 DA 96
1 1 1 D 1
60 092A A78 8E1 2F6 6CC C91 B1 43A A7D A9 961 B77
92 7 E1 2F C 91 B1 43 7D A 61 B7 C
92 A7 8E1 2F 6C C91 B1 43 A7D A 961 B7 7C 160
8 C A 9 1
2A A78 E12 2F6 6CC 91B B14 43A 7D A9 61B B77 7C1 609 92A

Q4)
Q3)
Q1)
78 E12 F6 CC 91 14 3A 7D A9 61B 77 C1 609 2A 78E

58679
78 E12 F6 CC 91 B14 3A 7D A9 61B 77 C1 609 2A 78E 12
B 6

T
8E E12F F6C CC9 91B 143 3A7 7DA A96 61B 77C C16 092 2A7 78E 12F F6C
1 1 1 D 1 7 0 1

a)
a)
a)
C A 1
E1 2F 6CC 91 B1 43A 7D A9 961 B7 7C1 60 92A A78 8E1 2F6 6CC C91
2F 6C 91 B1 43 7D A 61 B7 7C 60 92 78 E1 2F CC 91 B1
2F 6C C91 B1 43 A7D A 961 B7 7C 160 92 A78 E1 2F 6CC 91 B1 43A
C A 9 1 A 6 4
F6 6CC 91B B14 43A 7D A9 61B B77 7C1 609 92A 78E E12 2F6 CC 91B B14 3A 7DA
CC 91 1 3A 7D A9 61 77 C1 60 2A 78 12 F6 CC 91B 14 3A 7D 9

Where;
91 B1 43A 7D A9 61 B77 C1 609 92A 78 E12 F6 CC 91B 14 3A 7D A9 61B
B1 43 7D A 61 B7 C 60 2A 78 E1 F CC 91 1 3A 7D A9 61 77

equation:
43 A7 A 961 B7 7C 160 92 7 E1 2F 6C 91 B1 43A 7D A 61 B7 C1
A7 DA 96 B 7C 16 92 A7 8E 2F 6C C9 B 43 7 A 96 B7 7C 60

W= 1500N.
instruments:

dm = Wl2
DA 96 1B 77C 16 092 A7 8E 12F 6C C9 1B 143 A7 DA 96 1B7 7C 16 92

and examples

4Ebd3
96 1B 77C 16 092 A7 8E 12F 6C C9 1B1 143 A7 DA 961 1B7 7C 160 092 A7
Instructions:

1B 77 16 09 A 8E 12 6C C9 1B 43 A7 DA 96 B 7C 16 92 A7 8E
77 C1 09 2A 78E 12 F6C C 1B 14 A DA 96 1B 77C 16 09 A7 8E 12F

l = 1000 ± 0.5 cm,


X(t)=
C1 60 2A 78 1 F6 C 91 14 3A 7D 9 1B 77 1 09 2A 8E 12 6

dm = 2.622 ± 2.25%
d = 5.25 ± 0.25 cm ;
60 92A 78 E1 2F6 CC 91 B1 3A 7D A9 61 77 C1 609 2A 78 12 F6 CC

in various quantities.
92 7 E1 2F C 91 B1 43 7D A 61 B7 C 60 2A 78 E1 F6 CC 91

b = 4.942 ± 0.42 cm ;
A7 8E 2F 6C C9 B 43 A7 A 96 B7 7C 16 92 7 E1 2F C 9 B1

Prove Gauge factor, K =


8E 12F 6C C9 1B 143 A7 DA 96 1B 7C 16 092 A7 8E 2F 6C C9 1B1 43
12 6C C9 1B 14 A7 DA 96 1B 77C 16 09 A7 8E 12F 6C C9 1B 43 A7
F6 C 1B 14 3A D 9 1B 77 1 09 2A 8E 12 6 C 1B 14 A DA
CC 91 1 3A 7D A9 61 77 C1 60 2A 78 12 F6 CC 91B 14 3A 7D 9
91 B1 43A 7D A9 61 B77 C1 609 92A 78 E12 F6 CC 91B 14 3A 7D A9 61B
B1 43 7D A 61 B7 C 60 2A 78 E1 F CC 91 1 3A 7D A9 61 77
1. Question 1 compulsory.

Y(t) = [1 0 0 ] x(t)
43 A7 A 961 B7 7C 160 92 7 E1 2F 6C 91 B1 43A 7D A 61 B7 C1
A7 DA 96 B 7C 16 92 A7 8E 2F 6C C9 B 43 7 A 96 B7 7C 60
DA 96 1B 77C 16 092 A7 8E 12F 6C C9 1B 143 A7 DA 96 1B7 7C 16 92
96 1B 77C 16 092 A7 8E 12F 6C C9 1B1 143 A7 DA 961 1B7 7C 160 092 A7
1B 77 16 09 A 8E 12 6C C9 1B 43 A7 DA 96 B 7C 16 92 A7 8E
(3 Hours)

77 C1 09 2A 78E 12 F6C C 1B 14 A DA 96 1B 77C 16 09 A7 8E 12F


4. Figures/sketches carry weightage.
3. Assume suitable data, if necessary.

C1 60 2A 78 1 F6 C 91 14 3A 7D 9 1B 77 1 09 2A 8E 12 6

(iii) Steady state error for input


60 92A 78 E1 2F6 CC 91 B1 3A 7D A9 61 77 C1 609 2A 78 12 F6 CC

+ 1 +2
92 7 E1 2F C 91 B1 43 7D A 61 B7 C 60 2A 78 E1 F6 CC 91

+
A7 8E 2F 6C C9 B 43 A7 A 96 B7 7C 16 92 7 E1 2F C 9 B1
8E 12F 6C C9 1B 143 A7 DA 96 1B 7C 16 092 A7 8E 2F 6C C9 1B1 43
12 6C C9 1B 14 A7 DA 96 1B 77C 16 09 A7 8E 12F 6C C9 1B 43 A7
d) Explain the principle of LVDT with a neat sketch

F6 C 1B 14 3A D 9 1B 77 1 09 2A 8E 12 6 C 1B 14 A DA
CC 91 1 3A 7D A9 61 77 C1 60 2A 78 12 F6 CC 91B 14 3A 7D 9
91 B1 43A 7D A9 61 B77 C1 609 92A 78 E12 F6 CC 91B 14 3A 7D A9 61B
u(t)
B1 43 7D A 61 B7 C 60 2A 78 E1 F CC 91 1 3A 7D A9 61 77
43 A7 A 961 B7 7C 160 92 7 E1 2F 6C 91 B1 43A 7D A 61 B7 C1
A7 DA 96 B 7C 16 92 A7 8E 2F 6C C9 B 43 7 A 96 B7 7C 60
DA 96 1B 77C 16 092 A7 8E 12F 6C C9 1B 143 A7 DA 96 1B7 7C 16 92

DA961B77C16092A78E12F6CC91B143A7
96 1B 77C 16 092 A7 8E 12F 6C C9 1B1 143 A7 DA 961 1B7 7C 160 092 A7

construction and working of Bourdon tube with a neat sketch


1B 77 16 09 A 8E 12 6C C9 1B 43 A7 DA 96 B 7C 16 92 A7 8E
77 C1 09 2A 78E 12 F6C C 1B 14 A DA 96 1B 77C 16 09 A7 8E 12F

b) For a unity feedback system having open loop transfer function,


Q2) a) Convert the following state space system into a transfer function
I)Hysteresis II) Accuracy and Precision III) Resolution IV) Drift

C1 60 2A 78 1 F6 C 91 14 3A 7D 9 1B 77 1 09 2A 8E 12 6
60 92A 78 E1 2F6 CC 91 B1 3A 7D A9 61 77 C1 609 2A 78 12 F6 CC
92 7 E1 2F C 91 B1 43 7D A 61 B7 C 60 2A 78 E1 F6 CC 91
A7 8E 2F 6C C9 B 43 A7 A 96 B7 7C 16 92 7 E1 2F C 9 B1

Determine (i) Type and order of the system (ii) All error coefficients
2. Attempt any three questions from the remaining five questions.

8E 12F 6C C9 1B 143 A7 DA 96 1B 7C 16 092 A7 8E 2F 6C C9 1B1 43


12 6C C9 1B 14 A7 DA 96 1B 77C 16 09 A7 8E 12F 6C C9 1B 43 A7
F6 C 1B 14 3A D 9 1B 77 1 09 2A 8E 12 6 C 1B 14 A DA
CC 91 1 3A 7D A9 61 77 C1 60 2A 78 12 F6 CC 91B 14 3A 7D 9
91 B1 43A 7D A9 61 B77 C1 609 92A 78 E12 F6 CC 91B 14 3A 7D A9 61B
B1 43 7D A 61 B7 C 60 2A 78 E1 F CC 91 1 3A 7D A9 61 77
Paper / Subject Code: 32602 / Mechanical Measurements & Control

43 A7 A 961 B7 7C 160 92 7 E1 2F 6C 91 B1 43A 7D A 61 B7 C1


A7 DA 96 B 7C 16 92 A7 8E 2F 6C C9 B 43 7 A 96 B7 7C 60
b) Explain the construction and working of an Optical Pyrometer with a neat sketch

DA 96 1B 77C 16 092 A7 8E 12F 6C C9 1B 143 A7 DA 96 1B7 7C 16


96 1B 77C 16 092 A7 8E 12F 6C C9 1B1 143 A7 DA 961 1B7 7C 160 09
center by load ‘W’. If the length of the rod between supports is ‘l’ and ‘dm’ where -
Here x(t) are state variables, u(t) is a force vector and y(t) being the system response

1B 77 16 09 A 8E 12 6C C9 1B 43 A7 DA 96 B 7C 16 92
77 C1 09 2A 78E 12 F6C C 1B 14 A DA 96 1B 77C 16 09
C1 60 2A 78 1 F6 C 91 14 3A 7D 9 1B 77 1 09 2A
60 92A 78 E1 2F6 CC 91 B1 3A 7D A9 61 77 C1 609 2A 7
92 7 E1 2F C 91 B1 43 7D A 61 B7 C 60 2A 78
A rectangular steel rod of width ‘b’ and depth‘d’ is supported at its end and is loaded at its

b) Enumerate the types of pressure measurement devices w.r.t. to pressure levels. Explain the
A7 8E 2F 6C C9 B 43 A7 A 96 B7 7C 16 92 7

Find value of modulus of elasticity, % of uncertainty in various quantities, % of uncertainty


Determine the stability using Routh Hurwitz Criterion of the following characteristic

b) Differentiate between open and closed loop systems with their respective block diagrams

c) Explain the following terms with respect to static characteristics of the measuring

8E 12F 6C C9 1B 143 A7 DA 96 1B 7C 16 092 A7 8E


12 6C C9 1B 14 A7 DA 96 1B 77C 16 09 A7 8E 1
[Total marks: 80]

F6 C 1B 14 3A D 9 1B 77 1 09 2A 8E 12

TURN OVER
CC 91 1 3A 7D A9 61 77 C1 60 2A 78 12

10
10
08
12
10
10
05
05
05
05

91 B1 43A 7D A9 61 B77 C1 609 92A 78 E12 F6


B1 43 7D A 61 B7 C 60 2A 78 E1 F
43 A7 A 961 B7 7C 160 92 7 E1 2F 6C
A7 DA 96 B 7C 16 92 A7 8E 2F 6C
DA 96 1B 77C 16 092 A7 8E 12F 6C C
96 1B 77 16 09 A 8E 12 6C C9
7 16 9 A 8E 2 6C C9 B 43
7C C16 092 2A7 78E 12F F6C C9 1B1 143 A7
1 09 A 8E 12 6C C9 1B 4 A7 DA
16 6092 2A7 78E 12F F6C C9 1B 143 3A7 DA 96
1 1 1 D 1
60 092A A78 8E1 2F6 6CC C91 B1 43A A7D A9 961 B77
92 7 E1 2F C 91 B1 43 7D A 61 B7 C
92 A7 8E1 2F 6C C91 B1 43 A7D A 961 B7 7C 160
8 C A 9 1
2A A78 E12 2F6 6CC 91B B14 43A 7D A9 61B B77 7C1 609 92A

Q6)
Q5)

58679
78 E12 F6 CC 91 14 3A 7D A9 61B 77 C1 609 2A 78E
78 E12 F6 CC 91 B14 3A 7D A9 61B 77 C1 609 2A 78E 12
B 6
8E E12F F6C CC9 91B 143 3A7 7DA A96 61B 77C C16 092 2A7 78E 12F F6C
1 1 1 D 1 7 0 1
a)

C A 1
E1 2F 6CC 91 B1 43A 7D A9 961 B7 7C1 60 92A A78 8E1 2F6 6CC C91
2F 6C 91 B1 43 7D A 61 B7 7C 60 92 78 E1 2F CC 91 B1
2F 6C C91 B1 43 A7D A 961 B7 7C 160 92 A78 E1 2F 6CC 91 B1 43A
C A 9 1 A 6 4
F6 6CC 91B B14 43A 7D A9 61B B77 7C1 609 92A 78E E12 2F6 CC 91B B14 3A 7DA
CC 91 1 3A 7D A9 61 77 C1 60 2A 78 12 F6 CC 91B 14 3A 7D 9
91 B1 43A 7D A9 61 B77 C1 609 92A 78 E12 F6 CC 91B 14 3A 7D A9 61B
B1 43 7D A 61 B7 C 60 2A 78 E1 F CC 91 1 3A 7D A9 61 77
43 A7 A 961 B7 7C 160 92 7 E1 2F 6C 91 B1 43A 7D A 61 B7 C1
A7 DA 96 B 7C 16 92 A7 8E 2F 6C C9 B 43 7 A 96 B7 7C 60
DA 96 1B 77C 16 092 A7 8E 12F 6C C9 1B 143 A7 DA 96 1B7 7C 16 92
96 1B 77C 16 092 A7 8E 12F 6C C9 1B1 143 A7 DA 961 1B7 7C 160 092 A7
1B 77 16 09 A 8E 12 6C C9 1B 43 A7 DA 96 B 7C 16 92 A7 8E
77 C1 09 2A 78E 12 F6C C 1B 14 A DA 96 1B 77C 16 09 A7 8E 12F

with a neat sketch


C1 60 2A 78 1 F6 C 91 14 3A 7D 9 1B 77 1 09 2A 8E 12 6
60 92A 78 E1 2F6 CC 91 B1 3A 7D A9 61 77 C1 609 2A 78 12 F6 CC
92 7 E1 2F C 91 B1 43 7D A 61 B7 C 60 2A 78 E1 F6 CC 91
A7 8E 2F 6C C9 B 43 A7 A 96 B7 7C 16 92 7 E1 2F C 9 B1

Comment on its stability


8E 12F 6C C9 1B 143 A7 DA 96 1B 7C 16 092 A7 8E 2F 6C C9 1B1 43
12 6C C9 1B 14 A7 DA 96 1B 77C 16 09 A7 8E 12F 6C C9 1B 43 A7
F6 C 1B 14 3A D 9 1B 77 1 09 2A 8E 12 6 C 1B 14 A DA
CC 91 1 3A 7D A9 61 77 C1 60 2A 78 12 F6 CC 91B 14 3A 7D 9
and comment on its stability.

91 B1 43A 7D A9 61 B77 C1 609 92A 78 E12 F6 CC 91B 14 3A 7D A9 61B


B1 43 7D A 61 B7 C 60 2A 78 E1 F CC 91 1 3A 7D A9 61 77
43 A7 A 961 B7 7C 160 92 7 E1 2F 6C 91 B1 43A 7D A 61 B7 C1
A7 DA 96 B 7C 16 92 A7 8E 2F 6C C9 B 43 7 A 96 B7 7C 60
DA 96 1B 77C 16 092 A7 8E 12F 6C C9 1B 143 A7 DA 96 1B7 7C 16 92
96 1B 77C 16 092 A7 8E 12F 6C C9 1B1 143 A7 DA 961 1B7 7C 160 092 A7
1B 77 16 09 A 8E 12 6C C9 1B 43 A7 DA 96 B 7C 16 92 A7 8E
77 C1 09 2A 78E 12 F6C C 1B 14 A DA 96 1B 77C 16 09 A7 8E 12F
C1 60 2A 78 1 F6 C 91 14 3A 7D 9 1B 77 1 09 2A 8E 12 6
60 92A 78 E1 2F6 CC 91 B1 3A 7D A9 61 77 C1 609 2A 78 12 F6 CC
92 7 E1 2F C 91 B1 43 7D A 61 B7 C 60 2A 78 E1 F6 CC 91
A7 8E 2F 6C C9 B 43 A7 A 96 B7 7C 16 92 7 E1 2F C 9 B1
8E 12F 6C C9 1B 143 A7 DA 96 1B 7C 16 092 A7 8E 2F 6C C9 1B1 43
12 6C C9 1B 14 A7 DA 96 1B 77C 16 09 A7 8E 12F 6C C9 1B 43 A7
F6 C 1B 14 3A D 9 1B 77 1 09 2A 8E 12 6 C 1B 14 A DA
CC 91 1 3A 7D A9 61 77 C1 60 2A 78 12 F6 CC 91B 14 3A 7D 9
91 B1 43A 7D A9 61 B77 C1 609 92A 78 E12 F6 CC 91B 14 3A 7D A9 61B
B1 43 7D A 61 B7 C 60 2A 78 E1 F CC 91 1 3A 7D A9 61 77
43 A7 A 961 B7 7C 160 92 7 E1 2F 6C 91 B1 43A 7D A 61 B7 C1
___________________

A7 DA 96 B 7C 16 92 A7 8E 2F 6C C9 B 43 7 A 96 B7 7C 60
DA 96 1B 77C 16 092 A7 8E 12F 6C C9 1B 143 A7 DA 96 1B7 7C 16 92

DA961B77C16092A78E12F6CC91B143A7
96 1B 77C 16 092 A7 8E 12F 6C C9 1B1 143 A7 DA 961 1B7 7C 160 092 A7
1B 77 16 09 A 8E 12 6C C9 1B 43 A7 DA 96 B 7C 16 92 A7 8E
77 C1 09 2A 78E 12 F6C C 1B 14 A DA 96 1B 77C 16 09 A7 8E 12F
C1 60 2A 78 1 F6 C 91 14 3A 7D 9 1B 77 1 09 2A 8E 12 6
60 92A 78 E1 2F6 CC 91 B1 3A 7D A9 61 77 C1 609 2A 78 12 F6 CC
92 7 E1 2F C 91 B1 43 7D A 61 B7 C 60 2A 78 E1 F6 CC 91
A7 8E 2F 6C C9 B 43 A7 A 96 B7 7C 16 92 7 E1 2F C 9 B1
8E 12F 6C C9 1B 143 A7 DA 96 1B 7C 16 092 A7 8E 2F 6C C9 1B1 43
12 6C C9 1B 14 A7 DA 96 1B 77C 16 09 A7 8E 12F 6C C9 1B 43 A7
F6 C 1B 14 3A D 9 1B 77 1 09 2A 8E 12 6 C 1B 14 A DA
CC 91 1 3A 7D A9 61 77 C1 60 2A 78 12 F6 CC 91B 14 3A 7D 9
91 B1 43A 7D A9 61 B77 C1 609 92A 78 E12 F6 CC 91B 14 3A 7D A9 61B
Obtain transfer function C(s) / R(s) using block diagram reduction technique.

B1 43 7D A 61 B7 C 60 2A 78 E1 F CC 91 1 3A 7D A9 61 77
Paper / Subject Code: 32602 / Mechanical Measurements & Control

43 A7 A 961 B7 7C 160 92 7 E1 2F 6C 91 B1 43A 7D A 61 B7 C1


A7 DA 96 B 7C 16 92 A7 8E 2F 6C C9 B 43 7 A 96 B7 7C 60
DA 96 1B 77C 16 092 A7 8E 12F 6C C9 1B 143 A7 DA 96 1B7 7C 16
96 1B 77C 16 092 A7 8E 12F 6C C9 1B1 143 A7 DA 961 1B7 7C 160 09
1B 77 16 09 A 8E 12 6C C9 1B 43 A7 DA 96 B 7C 16 92
77 C1 09 2A 78E 12 F6C C 1B 14 A DA 96 1B 77C 16 09
C1 60 2A 78 1 F6 C 91 14 3A 7D 9 1B 77 1 09 2A
b) Explain the construction and working of non contact type of speed measurement system

60 92A 78 E1 2F6 CC 91 B1 3A 7D A9 61 77 C1 609 2A 7


a) Sketch the Root Locus for the given system having G (s). H (s) = K(s + 5) / (s2 + 4s+ 20).
b) A feedback system has G(s) H(s) = 242 (s+5) / s (s2 + 5s + 121) (s +1). . Draw Bode plot

92 7 E1 2F C 91 B1 43 7D A 61 B7 C 60 2A 78
A7 8E 2F 6C C9 B 43 A7 A 96 B7 7C 16 92 7
8E 12F 6C C9 1B 143 A7 DA 96 1B 7C 16 092 A7 8E
12 6C C9 1B 14 A7 DA 96 1B 77C 16 09 A7 8E 1
F6 C 1B 14 3A D 9 1B 77 1 09 2A 8E 12
CC 91 1 3A 7D A9 61 77 C1 60 2A 78 12
10
10
10
10

91 B1 43A 7D A9 61 B77 C1 609 92A 78 E12 F6


B1 43 7D A 61 B7 C 60 2A 78 E1 F
43 A7 A 961 B7 7C 160 92 7 E1 2F 6C
A7 DA 96 B 7C 16 92 A7 8E 2F 6C
DA 96 1B 77C 16 092 A7 8E 12F 6C C
96 1B 77 16 09 A 8E 12 6C C9

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