Question Paper: Mechatronics : Question Paper Dec 2013 - Mechanical Engineering (Semester 6) | Mumbai University (MU)
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## Mechatronics - Dec 2013

### Mechanical Engineering (Semester 6)

TOTAL MARKS: 100
TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.
(2) Attempt any four from the remaining questions.
(3) Assume data wherever required.
(4) Figures to the right indicate full marks.
1 (a) Differentiate between microprocessor and microcontroller.(5 marks) 1 (b) How steady state error of a control system is determined? How it can be reduced?(5 marks) 1 (c) Obtain the transfer function of the system defined by the following state-space equations: $$\begin{bmatrix}x_1\\x_2 \\x_3 \end{bmatrix} = \begin{bmatrix} 0 &1 &0 \\0 &0 &1 \\-5 &-25 &-5 \end{bmatrix} \begin{bmatrix}x_1\\x_2 \\x_3 \end{bmatrix}+ \begin{bmatrix} 0\\25 \\-120 \end{bmatrix} u \\ y= \begin{bmatrix} 1 & 0 & 0 \end{bmatrix} \begin{bmatrix} x_1\\x_2 \\x_3 \end{bmatrix}$$(5 marks) 1 (d) Write short note on pneumatic actuator.(5 marks) 2 (a) Explain the architecture of 8051 microcontroller with neat sketch.(10 marks) 2 (b) For a system, $$G(s) h(s) = \dfrac {k}{s^2 (s+2)(s+3) }.$$ Find the value of k to limit steady state error to 10 when input to system is $$\left \{ 1+10t + \dfrac {40}{2} t^2 \right \}$$(10 marks) 3 (a) Two double acting pneumatic cylinders A and B are selected for an industrial application. The sequence of movement for cylinder is as indicated below. A+B+, (AB)- Draw pneumatic circuit for the above sequence of operation.(10 marks) 3 (b) Draw Bode plot for a unity feedback system with $$G(S) H(S) = \dfrac {3 (s+1) (s+6) }{s^2 (s^2 = 18 s + 400)}$$ Comment on G.M, P.M, and stability.(10 marks) 4 (a) Describe the Architecture of PLC with block diagram with suitable industrial applications.(4 marks) 4 (b) Sketch the complete root locus for the system having, $$G(S) H(S) = \dfrac {K} {s(s+1) (s+2)(s+3)}$$(8 marks) 4 (c) Consider the liquid-level system shown in the fig. 1. In the system Qt is steady-state flow rate, H1 and H2 are steady-state heads. h1 and h2 small deviation of head from its steady state value q and q2 are small deviations of inflow and outlflow rate from its steady values. Obtain the transfer function of the system. (8 marks) 5 (a) Two double acting hydraulic cylinders A, B are selected for an industrial application. The sequence of movement for cylinder is as indicated below-
Delay B+A+, Delay(AB)-
Draw the electro-hydraulic circuit using 4/3 double solenoid ass final directional control valves. The auxiliary condition is that single cycle or multi-cycle can be selected.
(10 marks)
5 (b) The open loop T.F. of unity feedbacks system is $$G(S) = \dfrac {K}{S(1+TS)}$$ for this system overshot reduces from 0.6 to 0.2 due to change in "K" only. Show that- $$\dfrac {T K_1-1} {TK_2-1} = 43.33$$ where K1 and K2 are values of K for 0.6 and 0.2 overshot respectively.(10 marks) 6 (a) For a system with characteristics equation, F(S)=s6+3S5+4S4+6S3+5S2+3S+2=0, examine stability using Routh's criterion.(6 marks) 6 (b) Define (a) Gain Margin and (b) Phase Margin.(6 marks) 6 (c) Differentiate between stepper motor and servo motor.(8 marks)

### Write short notes on:

7 (a) Advantages of PI controller(5 marks) 7 (b) Transient response of a control system.(5 marks) 7 (c) Polar plot.(5 marks)