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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a damped harmonic oscillator in your own words.
π‘ Hint: Think about how friction might affect a swinging pendulum.
Question 2
Easy
What does the damping ratio (Ξ³) signify?
π‘ Hint: Consider it a comparison of 'how damped' the system is.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
In a damped harmonic oscillator, what happens to energy over time?
- It increases
- It stays the same
- It decreases
π‘ Hint: Think about what happens to a swing slowing down.
Question 2
True or False: Resonance only occurs in mechanical systems.
- True
- False
π‘ Hint: Consider other contexts where resonance might apply!
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
π‘ Hint: Remember to calculate the damped frequency using the provided formula.
Question 2
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.
π‘ Hint: Use given data to find k using the restoring force relation and then apply the resonance condition.
Challenge and get performance evaluation