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Control Systems

Control Systems
Given the Laplace transform of f(t) = F(s), the Laplace transform of (f(t)e-at) is equal to

 e-as*F(s)
 eas*F(s)
 F(s+a)
 F(s)/(s+a)

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Control Systems
The input-output relationship of a linear time invariant continuous time system is given by r(t) = d²c(t)/dt² + 3 dc(t)/dt + 2 c(t) Where r(t) and c(t) are input and output respectively. What is the transfer function of the system equal to?

 2/(s² + 3s + 2)
 2/(s² + s + 2)
 1/(s² + 3s + 2)
 1/(s² + s + 2)

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Control Systems
For the polynomial , find the number of roots which lie on the right half of s-plane?

 2
 1
 0
 4

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Control Systems
The closed loop transfer function of a system is 25/(s² + 25). The settling time of the system is

 25 sec
 ∞ sec
 5 sec
 1 sec

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Control Systems
Electrical analogous element for damper element (force-voltage analogy) in mechanical translation system is

 resistor
 any of the above
 inductor
 capacitor

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Control Systems
Given the transfer function of a system. Which of the following characteristics does it have?

 Critical damped
 any of the above
 Under damped
 Over damped

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