Overview
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Explore the fundamental principles of simple harmonic motion in this comprehensive lecture from Yale University's Fundamentals of Physics course. Delve into various physical systems, such as a mass attached to a spring, and understand their behavior when disturbed. Learn key concepts including amplitude, frequency, and period of simple harmonic motion. Examine multiple examples that demonstrate different cases of oscillation, from undamped to over-damped. Investigate the superposition of solutions to linear harmonic equations and explore exponential functions as generic solutions. Gain insights into the conditions necessary for harmonic equation solutions and the effects of driving forces on oscillators. This 74-minute lecture provides a thorough foundation in the mathematics and physics of oscillatory systems, essential for understanding more complex phenomena in physics and engineering.
Syllabus
- Chapter 1. Example Equations of Oscillating Objects.
- Chapter 2. Superposition of Solutions to Linear (Harmonic) Equations.
- Chapter 3. Conditions for Solutions to Harmonic Equations.
- Chapter 4. Exponential Functions as Generic Solutions.
- Chapter 5. Undamped, Under-damped and Over-damped Oscillations.
- Chapter 6. Driving Harmonic Force on Oscillator.
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