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Control Systems

Control Systems
Find the Laplace transform for sinωt?

 1/s²
 s/(s²+ω²)
 ω/(s²+ω²)
 1/s

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Control Systems
The steady state error due to ramp input for a type two system is equal to

 infinite.
 zero.
 constant.
 non zero number.

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Control Systems
A linear time invariant system has an impulse response e2t for t > 0 . If initial condition are 0 and input is e3t, the output for t > 0 is

  e3t - e2t.
  e2t + e3t.
  e2t - e3t.
  e5t.

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Control Systems
The Laplace transform of a transportation lag of 5 seconds is

 e-5s.
 1/(s-5).
 1/(s+5).
 e5s.

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Control Systems
The open loop transfer function of a unity feedback control system is given by G(s) = k/s(s+1). If gain k is increased to infinity, then damping ratio will tend to become

 zero
 unity
 0.707
 infinite

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Control Systems
Which of the following represents the value of resonant frequency (ωr)?

 (ωn) √(1-2ζ²)
 (ωn) √(1-ζ²/2)
 (ωn) √(1-ζ²)
 2*(ωn) √(1-ζ²)

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