4.1 - Damping – Introduction
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Practice Questions
Test your understanding with targeted questions
Define damping in your own words.
💡 Hint: Think about energy being lost in motion.
What does the damping coefficient ($\gamma$) represent?
💡 Hint: Consider its formula $\\gamma = \\frac{b}{2m}$.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What happens to the amplitude of oscillations in a damped system?
💡 Hint: Think about energy loss over time.
What characterizes an underdamped system?
💡 Hint: Consider the behavior of oscillations.
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Challenge Problems
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A system has a mass of 3 kg and a spring constant of 12 N/m. If the damping coefficient is 2 kg/s, determine if the system is overdamped, critically damped, or underdamped.
💡 Hint: Compare $\\gamma^2$ to $\\omega_0^2$.
An underdamped oscillator's amplitude starts at 10 m and decreases exponentially with a damping coefficient of 0.5 s^-1. Write the equation for its displacement over time.
💡 Hint: Remember how to express underdamped motion in terms of exponential decay.
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