The Physics of Damped Harmonic Oscillations Simplified Equations of Motion amp Beyond











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When we place an ideal Harmonic Oscillator in a medium that introduces friction, we get a Damped Harmonic Oscillations. Under light damping, we observe oscillations whose amplitude decreases exponentially. With damping greater than a critical value, no oscillations happen. Instead a displaced oscillator slowly comes towards its equilibrium • In this video, I look at the forces involved, obtain the equations of motion, and solve the necessary equation for various situations. • 00:00 Introduction • 01:32 Equation of Motion • 15:20 Without Damping • 18:44 Under Damping • 27:57 Critical Damping • 34:00 Over damping • 37:03 Final Results • Interested in moreeeeee....? • ▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱ • 1. The Simple Pendulum is not so Simple -    • It's NOT so Simple:  Physics of the S...   • 2. The Chaos of the Double Pendulum -    • The Chaos of Double Pendulum (Lagrang...   • 3. The Double Pendulum as Coupled Oscillator -    • Double Pendulum as Coupled Oscillator...   • 4. The Coupled Pendulum (Normal Modes) -    • Coupled Pendulum - Normal Modes   Fre...   • 5. Coupled Oscillators (Normal Modes/ Frequencies)    • The Dance of Coupled Oscillators | Un...   • 6. Damped Harmonic Oscillators -    • The Physics of Damped Harmonic Oscill...   • ▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱ • 7. What if you fell through a TUNNEL through Earth -    • PHYSICS PROBLEM: What if you fell in ...   • 8. BLOCK Stacking Problem (Very Interesting) -    • How many Blocks can you stack on top ...   • 9. Terminal Velocity (Force Equations) -    • Why Objects reach Terminal Velocity: ...   • 10. WELL OF DEATH - Physics Problem -    • Well of Death - Mechanics Problem (Fo...   • 11. Fermat's Principle to Snell's Law -    • Fermat's Principle to Snell's Law (De...   • ▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱ • • PLAYLIST on Various Problems on MECHANICS •    • Problems in Mechanics   • • ▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱ • 💖Support   / dibyajyotidas   • 🌷 Donate https://paypal.me/FortheLoveofPhysics • JOIN me on Telegram https://t.me/FortheLoveofPhysicsYT • ▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱ • • *My Notes (PDF), and SCILAB Programs are uploaded to my PATREON, and Telegram Channel*

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