TANCET 2017 Aeronautical & Aerospace Engineering Question Paper with Answer Key PDFs (March 26)

TANCET Questions

• 1.

  A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $. 
  For the system to be stable, the value of $ k $ is:

  • \( k>1 \)
    
  • \( 0.5<k<1 \)
    
  • \( 0<k<1 \)
    
  • \( 0<k<0.5 \)
    
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• 2.

  What is in this sequence? Y, V, S, P, ___
  

  • N
    
  • M
    
  • Q
    
  • L
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• 3.

  The Laplace transform of a signal $X(t)$ is $$ X(s) = \frac{4s + 1}{s^2 + 6s + 3}. $$ The initial value $X(0)$ is:

  • \( 0 \)
    
  • \( 4 \)
    
  • \( 1/6 \)
    
  • \( 4/3 \)
    
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• 4.

  Which of the following causal analog transfer functions is used to design causal IIR digital filter with transfer function? $$ H(z) = \frac{0.05z}{z-e^{-0.42}} + \frac{0.05z}{z-e^{-0.2}} $$ Assume impulse invariance transformation with \( T = 0.1 \, \text{s} \). 

  • \( H(S) = \frac{0.5}{S+4.2} + \frac{0.5}{S+2} \)
  • \( H(S) = \frac{0.5}{S+2.1} + \frac{0.5}{S+4} \)
  • \( H(S) = \frac{0.5}{S-2.1} + \frac{0.5}{S-4} \)
  • \( H(S) = \frac{0.5}{S-4.2} + \frac{0.5}{S-2} \)
    
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• 5.

  If the hinged end of a propped cantilever of span \( L \) settles by an amount \( \delta \), then the rotation of the hinged end will be

  • \( \frac{\delta}{L} \)
    
  • \( \frac{1.5 \delta}{L} \)
    
  • \( \frac{2 \delta}{L} \)
    
  • Zero
    
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• 6.

  The faces in a tetragon are

  • 12
    
  • 4
    
  • 6
    
  • 2
    
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