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MAE 488 Final with complete solutions graded A+
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MAE 488 Final with complete solutions graded A+
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MAE 488 FinalFor what values of the damping ratio, is the response a pure sinusoid? - correct answer ✔✔Zeta = 0
For what values of the damping ratio, is the response unstable? - correct answer ✔✔Zeta < 0
For what values of the damping ratio, is the response non-oscillatory? - correct answer ✔✔0>zeta>=1
For what values of the damping ratio, is the response critically damped - correct answer ✔✔zeta = 1
For what values of the damping ratio, is the response a damped sinusoid? - correct answer ✔✔0 < zeta <
1
The impulse function is the derivative of the step function. - correct answer ✔✔True
The Taylor Series can be used to linearize a function near a point. - correct answer ✔✔True
A system with negative roots in the denominator of the transfer function is unstable - correct answer
✔✔False
Is the following equation linear?
z(double dot) + z(dot)*z = 0 - correct answer ✔✔No
The product of a complex number and it's complex conjugate is a real number. - correct answer ✔✔True
The transient response is the response due to the initial conditions? - correct answer ✔✔False
, The damping ratio is the ratio of the damping in a system to the critical damping value. - correct answer
✔✔True
The damping ratio of a 2nd order system determines the type of response (stable/unstable, oscillatory,
under damped, or over damped) - correct answer ✔✔True
Define Laplace Transform - correct answer ✔✔Laplace transform is the Laplace transform of the output
divided by the Laplace transform of the input, assuming 0 initial conditions.
The free response of an ideal mass spring system will eventual approach a constant value - correct
answer ✔✔False
The response of a 2nd order system with 0 < zeta < 1 will be a damped sinusoid. - correct answer
✔✔True
The transfer function can be used to calculate the free response. - correct answer ✔✔False
A marginally stable system will always return to and settle at its equilibrium position. - correct answer
✔✔False
The total response of a system is the sum of the .... (2 Answers) - correct answer ✔✔Forced/Free
Response
Transient/ Steady State
Global Stability depends on initial conditions. - correct answer ✔✔False
What is the time constant? 4e^(-0.1t) - correct answer ✔✔Tau = 10 sec
The initial conditions of a system are always equal to the value of the response an infinitesimal small
time after t = 0: - correct answer ✔✔False
Numerator Dynamics do not affect the response. - correct answer ✔✔False
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