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Mechanical Measurement And Control Question Paper - May 18 - Mechanical Engineering (Semester 5) - Mumbai University (MU)
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Mechanical Measurement And Control - May 18

Mechanical Engineering (Semester 5)

Total marks: 80
Total time: 3 Hours
INSTRUCTIONS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Draw neat diagrams wherever necessary.

1.a. Differentiate between Deflection type and null type of measuring instruments.
(8 marks) 00

1.b Define the following terms with reference to the state space modelling of the system.

1.State space

2.State variables

(6 marks) 00

1.c Explain the following terms with reference to static characteristics of the measuring instruments.

1.Resolution

2.Precision

(6 marks) 00

2.a Describe the construction and working of diaphragms. Write down the expression for deflection of diaphragms and natural frequency.
(6 marks) 00

2.b Describe the construction and working of a d.c. tachometer generator. Explain its advantages and dis-advantages.
(6 marks) 00

2.c Obtain the state-space equation and output equation for the system defined by the equation,

$\frac{Y(s)}{U(s)}=\frac{2 s^{3}+s^{2}+s+2}{s^{3}+4 s^{2}+5 s+2}$

(8 marks) 00

3.a With a neat sketch explain the constructional feature and working of (i) infrared pyrometers. (ii) Electro-magnetic flow meter.
(10 marks) 00

3.b For a unity feedback system, the output response is observed as c(t) = 1 + 0.504 e-3.07t - 1.504e-2.18t. Determine damping ratio.
(10 marks) 00

4.a Explain the function of Rosettes. Explain the working of

1.Rectangular strain gauge rosettes.

2.Delta type strain gauge rosettes.

(10 marks) 00

4.b For a system having $\mathrm{G}(\mathrm{s}) \mathrm{H}(\mathrm{s})=\frac{K(1+s)^{2}}{s^{3}}$, find range of values of "K" for system to be stable, using Routh's array
(10 marks) 00

5.a For a certain feedback system having,

$G(s) H(s)=\frac{100(s+4)}{s(s+0.5)(s+10)}$

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

(10 marks) 00

5.b A diaphragm gauge is constructed of spring steel to measure differential pressure of 7 MN/m² . The diameter of diaphragm, is 12.5 mm. Calculate the thickness of diaphragm, if the maximum deflection is 0.33 of thickness. Also calculate the natural frequency of diaphragm. Given, Young's modulus = 200 GN/m², poisson's ratio = 0.28 and density of steel = 7800 Kg/m³.
(10 marks) 00

6.a For a unity feedback system having $G(s)=\frac{100(s+1)}{s^{2}(s+2)(s+10)}$, determine

1.Type of system

2.Error coefficients

3.Steady state error for input as $1 + 4t + \frac {t^2}{2}$.

(10 marks) 00

6.b With neat sketches discuss significance of followings aspects of signal conditionings for any one of the sensor : amplification, conversion filtering , modulation/demodulation, and grounding.
(10 marks) 00

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