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Control Systems

Control Systems
Force balancing equation of a dash-pot element is (where, x = displacement)

None of these
 B dx/dt
 B *x
 B d2x/dt2

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Control Systems
The characteristic equation of a feedback control system is given by s³ + 5s² + (k + 6)s + k = 0. In the root loci diagram, the asymptotes of the root loci for large 'k' meet at a point in the s-plane whose coordinates are

 (-1,0)
 (-2,0)
 (1,0)
 (2,0)

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Control Systems
The unit step response of the system is 1 - e-t(1+t). Which is the system?

 unstable
 stable
 critically stable
 oscillatory

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Control Systems
A unity feedback control system has forward loop transfer function as e-Ts/s(s+1). Its phase value will be zero at frequency ω1. Which of the following equations should be satisfied by ω1?

 Tω1 = cot(ω1)
 ω1 = tan(Tω1)
 ω1 = cot(Tω1)
 Tω1 = tan(ω1)

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

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

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Control Systems
The transfer function of the control system depends on

 the system parameters alone.
 initial conditions of input and output.
 nature of the input.
 nature of the output.

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