Practice Introduction to Dynamic Systems - 3.1 | 3. Mathematically Model Dynamic Systems and Derive Transfer Functions | Control Systems
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a dynamic system?

πŸ’‘ Hint: Think about what systems do when you apply different stimuli.

Question 2

Easy

What does a transfer function represent?

πŸ’‘ Hint: Recall the definition given in class.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does a dynamic system do?

  • Stays constant
  • Changes over time
  • Has no inputs

πŸ’‘ Hint: Think about how different forces can change a system's state.

Question 2

True or False: A transfer function can only describe mechanical systems.

  • True
  • False

πŸ’‘ Hint: Recall the variety of systems we've discussed.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

πŸ’‘ Hint: Start with establishing the initial conditions and apply the transformation diligently.

Question 2

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.

πŸ’‘ Hint: Consider how these parameters relate to the poles of the transfer function.

Challenge and get performance evaluation