MAE 488 Exam 1 (With Quizzes 1-3)-answered.
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
(T/F) The complete response is the sum of the free response and the forced response. -
Correct answer True
(T/F) The impulse input is zero for all t > 0. - Correct answer True
(T/F) The complete response is the sum of the free response and the steady state
response. - Correct answer False
(T/F) From a systems point of view, the solution of an ODE is the output of the
corresponding system. - Correct answer True
If the current output of an element or system depends ONLY on the current input, it is
_______ and _______ - Correct answer static and causal
If the current output of an element or system depends on the current and past input it is
________ and ________ - Correct answer dynamic and causal
If the current output of an element or system depends on the current and future input, it
is _________ - Correct answer non-causal
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