Practice Undamped Natural Frequency (14.2.2) - Natural Frequencies - Earthquake Engineering - Vol 1
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Undamped Natural Frequency

Practice - Undamped Natural Frequency

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the formula for undamped natural frequency?

💡 Hint: Look for the relationship between stiffness and mass.

Question 2 Easy

What happens to the natural frequency when mass is increased?

💡 Hint: Think about the formula and how mass is positioned.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the undamped natural frequency represent?

Vibrations with external damping
The natural frequency when a system oscillates freely
A measure of mass only

💡 Hint: Think about conditions without external forces.

Question 2

True or False: Increasing mass decreases the undamped natural frequency.

True
False

💡 Hint: Consider how mass impacts the frequency derived from the formula.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A building has a natural frequency of 2 rad/s. If the stiffness is changed to 800 N/m while maintaining the mass, what new natural frequency will be calculated?

💡 Hint: Use the formula to relate stiffness, mass, and frequency.

Challenge 2 Hard

Discuss how varying environmental factors (like soil conditions) might affect a structure's undamped natural frequency.

💡 Hint: Consider the impact of flexibility or rigidity from the surrounding environment.

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Reference links

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