MAE 488 Exam 1 (With Quizzes 1-3) UPDATED ACTUAL Exam Questions and CORRECT Answer

MAE 488 Exam 1 (With Quizzes 1-3)
UPDATED ACTUAL Exam Questions and
CORRECT Answers
For what values of the damping ratio, ζ , is the response a pure sinusoid? - CORRECT
ANSWER - ζ = 0



For what values of the damping ratio, ζ, is the response unstable? - CORRECT ANSWER -ζ
<0


For what values of the damping ratio, ζ, is the response non-oscillatory? - CORRECT
ANSWER - ζ >= 1


For what values of the damping ratio, ζ, is the response critically damped? - CORRECT
ANSWER - ζ = 1


For what values of the damping ratio, ζ, is the response a damped sinusoid? - CORRECT
ANSWER - 0 < ζ < 1



(T/F) The impulse function is the derivative of the step function. - CORRECT ANSWER -
True


(T/F) The system with the transfer function (5s+5)/(2s^2+18s+40) is unstable. - CORRECT
ANSWER - False



(T/F) The ODE: z'' + 4z'z - 5t + 14z = 0 is homogeneous. - CORRECT ANSWER - False


(T/F) The product of a complex number and its complex conjugate is a real number (no
imaginary part). - CORRECT ANSWER - True

, (T/F) The transient response is the response due to the initial conditions. - CORRECT
ANSWER - False


(T/F) The damping ratio is the ratio of the damping in a system to the critical damping value. -
CORRECT ANSWER - True



Define Transfer Function - CORRECT ANSWER - The Laplace transform of the output
divided by the Laplace transform of the input, assuming zero initial conditions.


(T/F) The transfer function can be used to calculate the free response. - CORRECT
ANSWER - False


(T/F) A marginally stable system will always return to and settle at its equilibrium position. -
CORRECT ANSWER - False


(T/F) The characteristic polynomial is the numerator of the transfer function. - CORRECT
ANSWER - False



The total response of a system is the sum of the __________ - CORRECT ANSWER - Free
and the forced response. Also the transient and the steady state response.


(T/F) Global stability is a characteristic of a system that depends on the initial conditions. -
CORRECT ANSWER - False



What is the time constant of the response x(t) = 4*e^(-0.2t) ? - CORRECT ANSWER -T=
1/0.2 = 5 seconds


(T/F) Numerator dynamics do NOT affect the response. - CORRECT ANSWER - False


(T/F) The time constant is a measure of how fast a decaying exponential decays. - CORRECT
ANSWER - True