4.3 - Energy Decay
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Practice Questions
Test your understanding with targeted questions
What happens to the energy of a damped harmonic oscillator over time?
💡 Hint: Think about the impact of friction or resistance on motion.
Define the damping coefficient (γ).
💡 Hint: Consider what parameters affect how quickly oscillations die down.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the term 'energy decay' refer to in damped harmonic oscillators?
💡 Hint: Think about how damping affects motion.
True or False: A high quality factor indicates rapid energy decay.
💡 Hint: Consider what qualities represent resonance efficiency.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A mass-spring system experiences damping with k = 300 N/m and b = 15 N.s/m. Calculate the damping coefficient and the quality factor if m = 2 kg.
💡 Hint: Use the formulas for γ and Q derived in your studies.
If an oscillator has an initial amplitude of 10 m and a damping coefficient of 0.5 s⁻¹, what will the amplitude be after 4 seconds?
💡 Hint: Utilize the exponential decay formula for amplitude.
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