Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does undamped free vibration refer to?
💡 Hint: Think about energy in a system that is not affected by external forces.
Question 2
Easy
Write down the equation of motion for undamped vibration.
💡 Hint: Recall the format of differential equations.
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 is the equation representing undamped free vibration?
- u¨(t) + ku(t) = 0
- u¨(t) + ω²u(t) = 0
- u(t) + ω²u(t) = 0
💡 Hint: Recall the format of motion representing oscillations.
Question 2
True or False: Undamped systems will not oscillate indefinitely.
- True
- False
💡 Hint: Consider what happens when there are no damping effects.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A structure has a mass of 10 kg and a stiffness of 2000 N/m. Calculate the natural frequency. Discuss the significance of this frequency in terms of structural behavior.
💡 Hint: Use the natural frequency formula to derive the answer.
Question 2
Discuss how undamped free vibrations might differ if damping is introduced, particularly in seismic design applications.
💡 Hint: Consider energy loss effects in oscillatory systems.
Challenge and get performance evaluation