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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 Simple... 2. The Chaos of the Double Pendulum - • The Chaos of Double Pendulum (Lagrangian A... 3. The Double Pendulum as Coupled Oscillator - • Double Pendulum as Coupled Oscillator (Sma... 4. The Coupled Pendulum (Normal Modes) - • Coupled Pendulum - Normal Modes & Frequenc... 5. Coupled Oscillators (Normal Modes/ Frequencies) • The Dance of Coupled Oscillators | Underst... 6. Damped Harmonic Oscillators - • The Physics of Damped Harmonic Oscillation... ▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱ 7. What if you fell through a TUNNEL through Earth - • PHYSICS PROBLEM: What if you fell in a tun... 8. BLOCK Stacking Problem (Very Interesting) - • How many Blocks can you stack on top of ea... 9. Terminal Velocity (Force Equations) - • Why Objects reach Terminal Velocity: Physi... 10. WELL OF DEATH - Physics Problem - • Well of Death - Mechanics Problem (Force E... 11. Fermat's Principle to Snell's Law - • Fermat's Principle to Snell's Law (Derivat... ▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱ 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*