Question Paper: Mechanical Measurement and Control : Question Paper May 2016 - Mechanical Engineering (Semester 5) | Mumbai University (MU)
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## Mechanical Measurement and Control - May 2016

### Mechanical Engineering (Semester 5)

TOTAL MARKS: 80
TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Assume data if required.
(4) Figures to the right indicate full marks.
1(a) Explain generalized measurement system elements with block diagram.(5 marks) 1(b) What is mathematical modeling? Write significance of mathematical modeling in control systems.(5 marks) 1(c) Write short note on PID controller.(5 marks) 1(d) Write the working principle of piezoelectric accelerometer(5 marks) 2(a) Explain the following terms with respect to measurement system: (i) Span and Range (ii) Drift(5 marks) 2(b) Illustrate the working principle of 'Nozzle flapper' for displacement measurement.(5 marks) 2(c) Convert the following state-space system of a single input single output system into a transfer function: $$\begin{Bmatrix} x_1\\ x_2 \end{Bmatrix}=\begin{bmatrix} -3 & 2\\ 1 & 1 \end{bmatrix}\begin{Bmatrix} x_1\\ x_2 \end{Bmatrix}+\begin{Bmatrix} 0\\ 2 \end{Bmatrix}u(t)\\\\y(t)=\begin{bmatrix}1 &0\end{bmatrix} \begin{Bmatrix} x_1\\ x_2 \end{Bmatrix}$$
Here x1 and x2 are state variable u(t) is a force vector and y(t) being the system response.
(10 marks)
3(a) With a neat sketch explain working of an Operational Amplifier (Op-amp). Enumerate limitations of the same.(5 marks) 3(b) What are desired, interfering and modifying inputs w.r.t. measurement of a system?(5 marks) 3(c) For a unity feedback system having $G(s)=\dfrac{10(s+1)}{s^2(s+2)(s+10)}$ determine (i) error coefficients (ii) Steady State error for input as $1+4t+\dfrac{t^2}{2}$(10 marks) 4(a) What are the different elastic transducers used for the pressure measurement. Illustrate the working principle of any one in detail.(10 marks) 4(b) A system is represented by the equation SB+5S6+2S4+3S2+1=0. Examine the stability of the system by using Routh's criterion.(10 marks) 5(a) Sketch Bode plot and assess the stability for the control system having open loop transfer function $$G(S)H(S)=\dfrac{120}{(S+2)(S+10)}$$(10 marks) 5(b) With a neat sketch explain the constructional feature and working of (i) Ionization Gauge, (ii) Thermocouples(10 marks) 6(a) Draw the root-locus of the control system whose open-loop transfer option is given by $$G(S)H(S)=\dfrac{K}{S^2(S+1)}$$(10 marks) 6(b) With a neat sketch explain the constructional feature and working of (i) digital tachometer, (ii) Rota-meter.(10 marks)