Practice Natural Frequency and Time Period - 7.5 | 7. Free Vibration of Single Degree of Freedom (SDOF) System | Earthquake Engineering - Vol 1
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Natural Frequency and Time Period

7.5 - Natural Frequency and Time Period

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does natural frequency tell us about an SDOF system?

💡 Hint: Think about the system's speed of oscillation.

Question 2 Easy

State the formula for the time period.

💡 Hint: Remember how gravity and mass influence the cycle time.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the natural frequency of a system?

A measure of the mass of the object
The oscillation speed of the system
The stiffness of the spring

💡 Hint: Focus on what describes the oscillation.

Question 2

The time period is always directly proportional to mass.

True
False

💡 Hint: Consider how mass influences cycles.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A mass-spring system has a mass of 10 kg and a spring constant of 500 N/m. Calculate the natural frequency and time period. What is the physical interpretation of these values?

💡 Hint: Utilize the formulas for both natural frequency and time period.

Challenge 2 Hard

Discuss the relationship between natural frequency and structural integrity in buildings during an earthquake. Why is it crucial to consider natural frequency in design?

💡 Hint: Think about how resonance impacts buildings under seismic loads.

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