Practice Introduction To Dynamic Systems (3.1) - Mathematically Model Dynamic Systems and Derive Transfer Functions

Practice: Introduction to Dynamic Systems

Lesson 3.1Mathematically Model Dynamic Systems and Derive Transfer Functions

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9 questions

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6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is a dynamic system?
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Think about what systems do when you apply different stimuli.
Question 2.
What does a transfer function represent?
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Recall the definition given in class.
3Question 3.
What does a dynamic system do?
- Stays constant
- Changes over time
- Has no inputs
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Think about how different forces can change a system's state.
4Question 4.
True or False: A transfer function can only describe mechanical systems.
- True
- False
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Recall the variety of systems we've discussed.
Question 5.
Given a second-order differential equation for a damping system: m(d^2x/dt^2) + b(dx/dt) + kx = 0, derive the transfer function using the Laplace Transform.
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Start with establishing the initial conditions and apply the transformation diligently.
Question 6.
In a mass-spring-damper system, if you know the damping ratio and natural frequency, discuss how these parameters affect the transfer function's stability.
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Consider how these parameters relate to the poles of the transfer function.

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