MU Mechanical Measurement and Control - May 2016 Exam Question Paper

MU Mechanical Engineering (Semester 5)
Mechanical Measurement and Control
May 2016

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

1(a) Explain generalized measurement system elements with block diagram.

5 M

1(b) What is mathematical modeling? Write significance of mathematical modeling in control systems.

5 M

1(c) Write short note on PID controller.

5 M

1(d) Write the working principle of piezoelectric accelerometer

5 M

2(a) Explain the following terms with respect to measurement system: (i) Span and Range (ii) Drift

5 M

2(b) Illustrate the working principle of 'Nozzle flapper' for displacement measurement.

5 M

2(c) Convert the following state-space system of a single input single output system into a transfer function:

{\begin{matrix} x_{1} \\ x_{2} \end{matrix}} = [\begin{matrix} - 3 & 2 \\ 1 & 1 \end{matrix}] {\begin{matrix} x_{1} \\ x_{2} \end{matrix}} + {\begin{matrix} 0 \\ 2 \end{matrix}} u (t) y (t) = [\begin{matrix} 1 & 0 \end{matrix}] {\begin{matrix} x_{1} \\ x_{2} \end{matrix}}

$\begin{Bmatrix} x_1\\ x_2 \end{Bmatrix}=\begin{bmatrix} -3 & 2\\ 1 & 1 \end{bmatrix}\begin{Bmatrix} x_1\\ x_2 \end{Bmatrix}+\begin{Bmatrix} 0\\ 2 \end{Bmatrix}u(t)\\\\y(t)=\begin{bmatrix}1 &0\end{bmatrix} \begin{Bmatrix} x_1\\ x_2 \end{Bmatrix}$
Here x₁ and x₂ are state variable u(t) is a force vector and y(t) being the system response.

10 M

3(a) With a neat sketch explain working of an Operational Amplifier (Op-amp). Enumerate limitations of the same.

5 M

3(b) What are desired, interfering and modifying inputs w.r.t. measurement of a system?

5 M

3(c) For a unity feedback system having

G (s) = \frac{10 (s + 1)}{s^{2} (s + 2) (s + 10)}

$G(s)=\dfrac{10(s+1)}{s^2(s+2)(s+10)}$ determine (i) error coefficients (ii) Steady State error for input as

1 + 4 t + \frac{t^{2}}{2}

$1+4t+\dfrac{t^2}{2}$

10 M

4(a) What are the different elastic transducers used for the pressure measurement. Illustrate the working principle of any one in detail.

10 M

4(b) A system is represented by the equation S^B+5S⁶+2S⁴+3S²+1=0. Examine the stability of the system by using Routh's criterion.

10 M

5(a) Sketch Bode plot and assess the stability for the control system having open loop transfer function

G (S) H (S) = \frac{120}{(S + 2) (S + 10)}

$G(S)H(S)=\dfrac{120}{(S+2)(S+10)}$

10 M

5(b) With a neat sketch explain the constructional feature and working of (i) Ionization Gauge, (ii) Thermocouples

10 M

6(a) Draw the root-locus of the control system whose open-loop transfer option is given by

G (S) H (S) = \frac{K}{S^{2} (S + 1)}

$G(S)H(S)=\dfrac{K}{S^2(S+1)}$

10 M

6(b) With a neat sketch explain the constructional feature and working of (i) digital tachometer, (ii) Rota-meter.

10 M

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