Practice - Energy Considerations
Practice Questions
Test your understanding with targeted questions
Define a damped harmonic oscillator in your own words.
💡 Hint: Think about how friction might affect a swinging pendulum.
What does the damping ratio (γ) signify?
💡 Hint: Consider it a comparison of 'how damped' the system is.
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Interactive Quizzes
Quick quizzes to reinforce your learning
In a damped harmonic oscillator, what happens to energy over time?
💡 Hint: Think about what happens to a swing slowing down.
True or False: Resonance only occurs in mechanical systems.
💡 Hint: Consider other contexts where resonance might apply!
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Challenge Problems
Push your limits with advanced challenges
An underdamped system oscillates with a damping ratio of 0.2 and a natural frequency of 5 Hz. Calculate the frequency of oscillation as it decays in amplitude.
💡 Hint: Remember to calculate the damped frequency using the provided formula.
If an external force of 10 N is applied to a damped oscillator whose mass is 2 kg, determine the driving frequency required for resonance if the damping ratio is 0.1.
💡 Hint: Use given data to find k using the restoring force relation and then apply the resonance condition.
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Reference links
Supplementary resources to enhance your learning experience.