The Dance of Coupled Oscillators | Understanding Normal Modes & Frequencies
Coupled Oscillators are systems in which two or more oscillating systems are coupled together so that each can exchange energy with the other. The motion is quite interesting.
The general solution is a linear superposition of two distinct frequencies, known as Normal frequencies. Under certain initial conditions, the entire system can execute Simple harmonic oscillations with these normal frequencies. Such modes are known as Normal Modes.
If we know the normal modes of a coupled oscillator, we can construct its general solution by the linear combination of the distinct normal frequencies! Voila.
00:00 Introduction
02:03 Obtain equations of Motion
19:40 Normal Modes & Frequencies
31:12 Beats
48:15 Revision
Interested in moreeeeee....?
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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...
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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...
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PLAYLIST on Various Problems on MECHANICS
• Problems in Mechanics
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