Practice Resonance (3.3) - Harmonic Oscillators & Damping - Engineering Mechanics
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Resonance

Practice - Resonance

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is resonance?

💡 Hint: Think about how the swing moves higher when pushed at the right time.

Question 2 Easy

What happens to amplitude during resonance?

💡 Hint: Remember the swinging motion!

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What occurs when an external force matches a system's natural frequency?

Damping
Resonance
Detuning

💡 Hint: Consider the example of a swing.

Question 2

True or False: Over-damped systems oscillate.

True
False

💡 Hint: Think about how different systems behave.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A bridge is designed with natural frequency 1 Hz. External forces apply a frequency of 0.9 Hz with low damping. What will happen?

💡 Hint: Consider the relationship between driving frequency and natural frequency.

Challenge 2 Hard

You have a damped harmonic oscillator with a damping coefficient $b$. How will increasing $b$ affect the amplitude at resonance?

💡 Hint: Think about the effectiveness of energy dissipation in the system.

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Reference links

Supplementary resources to enhance your learning experience.