For an input forcing function, X(t) = 2t2, the Laplace transform of this function is________________?

Related Mcqs:

1. The Laplace transform of exp(at), where a > 0, is defined only for the Laplace parameter, s > a since______________?

   A. The function is exponential B. The Laplace transform of integral of exp(at) has finite values only for s > a C. The Laplace transform integral of exp(at) has initial values only for s > a D. The function exp(at) is piece-wise continuous only for s > a...

2. What is the Laplace transform of impulse input having magnitude „X‟ ?

   A. X B. X2 C. 1/X D. 1...

3. The inverse Laplace transform of the function f(S) = 1/S (1 + S) is_________________?

   A. 1 + et B. 1 – et C. 1 + e-t D. 1 – e-t...

4. For the time domain function f(t) = t, the Laplace transform of ∫0 t f(t) dt is given by___________________?

   A. 1/2 S3 B. 2/S3 C. 1/S3 D. 2/S2...

5. What is the Laplace transform of sin t ?

   A. 1/(s2 + 1) B. s/(1 + s2) C. 1/(s2 – 1) D. s/(s2 – 1)...

6. What is the ratio of output amplitude to input amplitude for a sinusoidal forcing function in a first order system ?

   A. 1 B. > 1 C. < 1 D. None of these...

7. Phase lag of the frequency response of a second order system to a sinusoidal forcing function______________?

   A. Is 30° B. Is 90° at the most C. Approaches 180° asymptotically D. Is 120°...

8. An ideal PID controller has the transfer function [1 + (1/0.55) + 0.25]. The frequency at which the magnitude ratio of the controller is 1, is________________?

   A. 0.5/0.2 B. 0.2/0.5 C. 0.2 × 0.5 D. 1/√(0.2 × 0.5)...

9. The transfer function for a P-D controller is________________?

   A. Kc(1+ηD s) B. Kc(1 +1/ηD s) C. Kc ηD s D. Kc/ηD s...

10. In a closed loop system, the process to be controlled is an integrating process with transfer function 1/2s. The controller proposed to be used in an integral controller with transfer function 1/T1s. When a step change in set point is applied to such a closed loop system, the controlled variable will exhibit__________________?

    A. Overdamped response B. Underdamped response C. Undamped response D. Unstable response...