It's NOT so Simple: Physics of the Simple Pendulum - Equations of Motion & Beyond
8.9 هزار بار بازدید -
3 سال پیش
-
The Simple Pendulum is when
The Simple Pendulum is when a point mass object is attached via a mass less rod or string to a pivot, oscillates back and forth. Its a very simple construction, and the nature of oscillations are commonly known.
But, is the Simple Pendulum really that simple?
In this video, I do an elaborate study of the various aspects of simple pendulum. Following are the time stamps for the topics involved.
00:00 Introduction
03:00 Equation of Motion using Forces
09:20 Equation of Motion using Torque
12:30 Equation of Motion using Lagrangian
19:37 Small Angle Approximation and Solution
35:33 Numerical Solution of ODE
43:00 Phase Space Trajectory
51:05 Kinetic and Potential Energy
54:50 Final Thoughts and Revision
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) - The Love Affair of "Coupled" Pendulum...
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 Patreon: 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 Chanel*
But, is the Simple Pendulum really that simple?
In this video, I do an elaborate study of the various aspects of simple pendulum. Following are the time stamps for the topics involved.
00:00 Introduction
03:00 Equation of Motion using Forces
09:20 Equation of Motion using Torque
12:30 Equation of Motion using Lagrangian
19:37 Small Angle Approximation and Solution
35:33 Numerical Solution of ODE
43:00 Phase Space Trajectory
51:05 Kinetic and Potential Energy
54:50 Final Thoughts and Revision
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) - The Love Affair of "Coupled" Pendulum...
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 Patreon: 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 Chanel*
3 سال پیش
در تاریخ 1399/12/15 منتشر شده
است.
8,918
بـار بازدید شده