Practice Graphical Representation of Motion - 7.7 | 7. Free Vibration of Single Degree of Freedom (SDOF) System | Earthquake Engineering - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define displacement in the context of an SDOF system.

💡 Hint: Think about how far the mass moves from its rest position.

Question 2

Easy

What shape does the displacement-time graph of an undamped system have?

💡 Hint: Visualize how waves move up and down continuously.

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 type of motion is exhibited by an undamped SDOF system?

  • Random
  • Sinusoidal
  • Linear

💡 Hint: Think about the shape of waves in motion.

Question 2

True or False: The amplitude of an undamped SDOF system decreases over time.

  • True
  • False

💡 Hint: Consider the absence of energy loss.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

For a mass-spring system with a mass of 2 kg and a spring constant of 50 N/m, calculate the natural frequency and sketch the corresponding displacement versus time graph.

💡 Hint: Remember the formula for natural frequency and how to sketch oscillatory functions.

Question 2

Explain how changes in mass would affect the phase diagram of a vibrating system and what it implies about the velocity at maximum displacement.

💡 Hint: Think about how mass influences both shape and speed of oscillation in a dynamic system.

Challenge and get performance evaluation