6. Oscillations.md
2024-4-11|2024-4-12
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Simple Harmonic Oscillations
- Understanding and Use: Define the terms displacement, amplitude, period, frequency, angular frequency, and phase difference in the context of oscillations. How can the period be expressed in terms of both frequency and angular frequency? Answer:
- Understanding: When does simple harmonic motion occur? Answer:
- Use: Use the equation a = -ω²x to calculate the acceleration of an object undergoing simple harmonic motion with an angular frequency of 3 rad/s and a displacement of 2 m. Answer:
- Use: Use the equations v = v₀ cos ωt and v = ± ω√(x₀² - x²) to calculate the velocity of an object undergoing simple harmonic motion with an initial velocity of 2 m/s, an angular frequency of 3 rad/s, and a displacement of 1 m at a time of 2 seconds. Answer:
- Analysis and Interpretation: How would you interpret a graph showing the variation of displacement, velocity, and acceleration for simple harmonic motion? Answer:
Energy in Simple Harmonic Motion
- Description: Can you describe the interchange between kinetic and potential energy during simple harmonic motion? Answer:
- Recall and Use: Recall the equation calculate the total energy of a system undergoing simple harmonic motion. Answer:
Damped and Forced Oscillations, Resonance
- Understanding: What is the effect of a resistive force on an oscillating system? Answer:
- Understanding and Use: Define light, critical, and heavy damping and sketch displacement–time graphs for each. Answer:
- Understanding: What is resonance and when does it occur in an oscillating system? Answer:
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