Practice Damping – Introduction (4.1) - Simple harmonic motion, damped and forced simple harmonic oscillator

Practice: Damping – Introduction

Lesson 4.1Simple harmonic motion, damped and forced simple harmonic oscillator

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6 sample questions

Question 1.
Define damping in your own words.
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Think about energy being lost in motion.
Question 2.
What does the damping coefficient ( $\gamma$ ) represent?
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Consider its formula $\\gamma = \\frac{b}{2m}$.
3Question 3.
What happens to the amplitude of oscillations in a damped system?
- Increases
- Decreases
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Think about energy loss over time.
4Question 4.
What characterizes an underdamped system?
- No oscillation
- Fast return
- Oscillates with decreasing amplitude
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Consider the behavior of oscillations.
Question 5.
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.
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Compare $\\gamma^2$ to $\\omega_0^2$.
Question 6.
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.
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Remember how to express underdamped motion in terms of exponential decay.

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