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MAE 488 Exam 1 (With Quizzes 1-3) with correct answers
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MAE 488 Exam 1 (With Quizzes 1-3) with correct answers
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MAE 488 Exam 1 (With Quizzes 1-3)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
(T/F) The initial conditions of a system (x(0-), x'(0-), x''(0-),......) are always equal to the value of the
response an infinitesimal time after t = 0: (x(0+), x'(0+), x''(0+), .....) - correct answer ✔✔False
(T/F) If the initial conditions are all zero, the forced response is zero. - correct answer ✔✔False
(T/F) The free response is also called the initial condition response. - correct answer ✔✔True
(T/F) The steady state response approaches zero as t (time) approaches infinity. - correct answer
✔✔False
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