Exam (elaborations)
MAE 488 Final with complete solutions graded A+
- Course
- Institution
MAE 488 Final with complete solutions graded A+
[Show more]
Content preview
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
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller BravelRadon. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $14.99. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
75323 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now