Practice Equation of Motion for Undamped SDOF - 5.4.3 | 5. Degrees of Freedom and SDOF | Earthquake Engineering - Vol 1
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Equation of Motion for Undamped SDOF

5.4.3 - Equation of Motion for Undamped SDOF

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the term 'undamped' mean in structural analysis?

💡 Hint: Think about energy loss during motion.

Question 2 Easy

Which variable represents ground acceleration in the equation of motion?

💡 Hint: Look for the term that accounts for the ground's motion.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the equation of motion for an undamped SDOF system?

💡 Hint: Recall the variables from our discussions.

Question 2

True or False: An undamped system loses energy during motion.

True
False

💡 Hint: Think about how energy conservation applies.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a structure with a mass of 500 kg and a stiffness of 10000 N/m, calculate the acceleration when subjected to a ground acceleration of 3 m/s².

💡 Hint: Substitute the given values into the equation.

Challenge 2 Hard

Describe how the response of the undamped SDOF system changes if the stiffness doubles while the mass remains constant.

💡 Hint: Consider how increased stiffness affects the oscillation frequency.

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