MAE 488 Final Exam Questions with Verified Answers Rated 100%
,For what values of the damping ratio, is the response a pure sinusoid? - Answers Zeta = 0
For what values of the damping ratio, is the response unstable? - Answers Zeta < 0
For what values of the damping ratio, is the response non-oscillatory? - Answers 0>zeta>=1
For what values of the damping ratio, is the response critically damped - Answers zeta = 1
For what values of the damping ratio, is the response a damped sinusoid? - Answers 0 < zeta < 1
The impulse function is the derivative of the step function. - Answers True
The Taylor Series can be used to linearize a function near a point. - Answers True
A system with negative roots in the denominator of the transfer function is unstable - Answers False
Is the following equation linear?
z(double dot) + z(dot)*z = 0 - Answers No
The product of a complex number and it's complex conjugate is a real number. - Answers True
The transient response is the response due to the initial conditions? - Answers False
The damping ratio is the ratio of the damping in a system to the critical damping value. - Answers True
The damping ratio of a 2nd order system determines the type of response (stable/unstable, oscillatory,
under damped, or over damped) - Answers True
Define Laplace Transform - Answers 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 - Answers
False
The response of a 2nd order system with 0 < zeta < 1 will be a damped sinusoid. - Answers True
The transfer function can be used to calculate the free response. - Answers False
A marginally stable system will always return to and settle at its equilibrium position. - Answers False
The total response of a system is the sum of the .... (2 Answers) - Answers Forced/Free Response
Transient/ Steady State
Global Stability depends on initial conditions. - Answers False
, What is the time constant? 4e^(-0.1t) - Answers 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: - Answers False
Numerator Dynamics do not affect the response. - Answers False
If the current output of a system only depends on current inputs, it is... - Answers Static and Causal
If the current ouput depends on past and current inputs, it is... - Answers Causal and dynamic
If the system depends on future inputs, the system is... - Answers Non-Causal
If a system is linear and a sinusoidal input is applied, the output will have the same - Answers Frequency
A linear element is an element that obeys superposition - Answers True
Additive Property - Answers f(x+y) = f(x) + f(y)
The standard order system is characterized by only two parameters. - Answers True
From a systems point of view, the output is related to the dependent variable. - Answers True
A first order system is characterized by the natural frequency. - Answers False
The transfer function cannot be used to calculate the response due to any standard input. - Answers
False
If a 2nd order system has two negative real roots, the response will be.... - Answers Non-oscillatory
The transfer function ca be used to calculate the forced response. - Answers True
The transient response is a response of only intial conditions. - Answers False
A damper resists velocity - Answers True
The equivalent spring constant of two springs in parallel is the sum of the spring constants. - Answers
True
What is newtons second law under transnational system and rotational system. - Answers sum(f) = m*a
and sum(M) = alpha*I
The equation for the power produced by an element - Answers P = IV
Ohm's Law - Answers V = IR
KVL states that the signed sum of the voltages are equal to - Answers 0
,For what values of the damping ratio, is the response a pure sinusoid? - Answers Zeta = 0
For what values of the damping ratio, is the response unstable? - Answers Zeta < 0
For what values of the damping ratio, is the response non-oscillatory? - Answers 0>zeta>=1
For what values of the damping ratio, is the response critically damped - Answers zeta = 1
For what values of the damping ratio, is the response a damped sinusoid? - Answers 0 < zeta < 1
The impulse function is the derivative of the step function. - Answers True
The Taylor Series can be used to linearize a function near a point. - Answers True
A system with negative roots in the denominator of the transfer function is unstable - Answers False
Is the following equation linear?
z(double dot) + z(dot)*z = 0 - Answers No
The product of a complex number and it's complex conjugate is a real number. - Answers True
The transient response is the response due to the initial conditions? - Answers False
The damping ratio is the ratio of the damping in a system to the critical damping value. - Answers True
The damping ratio of a 2nd order system determines the type of response (stable/unstable, oscillatory,
under damped, or over damped) - Answers True
Define Laplace Transform - Answers 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 - Answers
False
The response of a 2nd order system with 0 < zeta < 1 will be a damped sinusoid. - Answers True
The transfer function can be used to calculate the free response. - Answers False
A marginally stable system will always return to and settle at its equilibrium position. - Answers False
The total response of a system is the sum of the .... (2 Answers) - Answers Forced/Free Response
Transient/ Steady State
Global Stability depends on initial conditions. - Answers False
, What is the time constant? 4e^(-0.1t) - Answers 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: - Answers False
Numerator Dynamics do not affect the response. - Answers False
If the current output of a system only depends on current inputs, it is... - Answers Static and Causal
If the current ouput depends on past and current inputs, it is... - Answers Causal and dynamic
If the system depends on future inputs, the system is... - Answers Non-Causal
If a system is linear and a sinusoidal input is applied, the output will have the same - Answers Frequency
A linear element is an element that obeys superposition - Answers True
Additive Property - Answers f(x+y) = f(x) + f(y)
The standard order system is characterized by only two parameters. - Answers True
From a systems point of view, the output is related to the dependent variable. - Answers True
A first order system is characterized by the natural frequency. - Answers False
The transfer function cannot be used to calculate the response due to any standard input. - Answers
False
If a 2nd order system has two negative real roots, the response will be.... - Answers Non-oscillatory
The transfer function ca be used to calculate the forced response. - Answers True
The transient response is a response of only intial conditions. - Answers False
A damper resists velocity - Answers True
The equivalent spring constant of two springs in parallel is the sum of the spring constants. - Answers
True
What is newtons second law under transnational system and rotational system. - Answers sum(f) = m*a
and sum(M) = alpha*I
The equation for the power produced by an element - Answers P = IV
Ohm's Law - Answers V = IR
KVL states that the signed sum of the voltages are equal to - Answers 0
