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Control Systems

Control Systems
Find the Laplace transform for sinωt?

 s/(s²+ω²)
 ω/(s²+ω²)
 1/s²
 1/s

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Control Systems
The characteristic equation of a control system is give by s(s + 4)(s² + 2s + 1) + k(s + 1) = 0. Find the angle between the asymptotes?

 120°
 180°
 360°
 60°

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

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

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Control Systems
A box which tells the effect of inputs on control sub system is known as

 Data Box.
 Decision box.
 Logical box.
 State box.

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Control Systems
A first order control system is initially at 0 V and subjected to a sudden input at t=0. Its output reaches 1.1 V in 4 sec and eventually reaches steady state of 2 V. Find the time constant?

 5 sec
 2 sec
 4 sec
 6 sec

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Control Systems
The transfer function of a linear time invariant system is given as G(s) = 10/(s² + 10s + 10). The steady state value of the output of the system for step input applied at time instant t=2 sec will be

 undefined
 0
 infinity
 1

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