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#Lagrangian Mechanics

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Northwestern University

Graduate Classical Mechanics Course - Northwestern, Fall 2020

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Explore advanced classical mechanics concepts, including conservation laws, Lagrangian dynamics, and multi-particle systems, in this comprehensive graduate-level physics course.
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24 Lesons
16 hours
On-Demand
Free-Video
NPTEL

Introduction to Classical Mechanics

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This introductory course on Classical Mechanics covers the following topics: Euler Lagrange Equations, Small Oscillations, Central Force Problem, Rigid Body Motion.
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68 Lesons
1 day 6 hours
On-Demand
Free-Video

Analytical Dynamics - Lagrangian and 3D Rigid Body Dynamics

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Comprehensive exploration of analytical dynamics, covering Lagrangian mechanics and 3D rigid body motion. Extends knowledge beyond undergraduate level, focusing on deriving equations of motion and analyzing system behavior.
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29 Lesons
1 day 10 hours
On-Demand
Free-Video

Physics One

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Explore advanced physics concepts, from equations of motion to Lagrangian mechanics, using mathematical language to develop authentic physicist thinking skills.
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16 Lesons
3 hours 30 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Phase Portraits from Potential Energy - Bifurcations - Constraint Forces from Lagrange Multipliers

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Explore phase portraits, bifurcations, and constraint forces in dynamical systems. Learn graphical methods, analyze system behavior changes, and understand Lagrangian mechanics with practical applications.
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6 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Lagrange’s Equations with Conservative and Non-Conservative Forces - Phase Space Introduction

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Explore Lagrange's equations for conservative and non-conservative forces, rigid body systems, and phase space analysis. Learn to solve and classify motions using advanced analytical dynamics techniques.
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6 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Lagrange's Equations Introduction - Generalized Coordinates, Constraints, Degrees of Freedom

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Comprehensive introduction to Lagrangian mechanics, covering generalized coordinates, constraints, and degrees of freedom. Explores holonomic and nonholonomic constraints, with examples including the intriguing shopping cart instability.
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5 Lesons
1 hour 16 minutes
On-Demand
Free-Video
CIMPA UCR

Taller de Investigación sobre Mecánica Clásica

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Explora los fundamentos y aplicaciones avanzadas de la mecánica clásica en este taller de investigación dirigido por el experto Santiago Chaves.
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1 Lesons
1 hour 39 minutes
On-Demand
Free-Video
CIMPA UCR

Taller de Investigación sobre Mecánica Clásica - 01 de febrero

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Explora los fundamentos y aplicaciones avanzadas de la mecánica clásica en este taller de investigación dirigido por el experto Santiago Chaves.
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1 Lesons
1 hour 43 minutes
On-Demand
Free-Video
CIMPA UCR

Taller de Investigación sobre Mecánica Clásica - 23 de Enero

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Explora los fundamentos y aplicaciones avanzadas de la mecánica clásica en este taller de investigación dirigido por el experto Santiago Chaves.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Inside Livermore Lab

LAGHOST: Development of Lagrangian High-Order Solver for Tectonics

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Explore LAGHOST, a Lagrangian high-order solver for tectonic simulations. Learn about its features, benchmarks, and applications in modeling geological processes like normal fault evolution.
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1 Lesons
46 minutes
On-Demand
Free-Video
World Science Festival

Noether's Amazing Theorem - Symmetry and Conservation

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Explore Emmy Noether's groundbreaking theorem linking symmetry and conservation in physics, explained by Brian Greene through accessible mathematics and engaging storytelling.
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8 Lesons
38 minutes
On-Demand
Free-Video
Physics with Elliot

How Feynman Did Quantum Mechanics and You Should Too

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Explore Feynman's path integral formulation of quantum mechanics, understanding how classical mechanics emerges from quantum principles and the significance of the path of stationary action.
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9 Lesons
26 minutes
On-Demand
Free-Video
Let's Code Physics

Marble in a Bowl - Fun with Lagrangians - Part 1

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Explore 3-D spherical coordinates through a marble rolling in a bowl. Learn Lagrangian mechanics with interactive GlowScript and Jupyter examples in this engaging physics tutorial.
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1 Lesons
17 minutes
On-Demand
Free-Video
Let's Code Physics

Spring Pendulum Simulation Using Jupyter - Fun With Lagrangians

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Explore spring pendulum dynamics using Jupyter, focusing on energy conservation and competing forces. Includes GlowScript and Jupyter implementations for rich phase space visualization.
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1 Lesons
15 minutes
On-Demand
Free-Video
Let's Code Physics

Spring Pendulum Simulation Using GlowScript and Lagrangian Mechanics

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Explore spring pendulum dynamics using GlowScript, examining energy conservation and competing forces through rich phase space views and Lagrangian mechanics.
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1 Lesons
26 minutes
On-Demand
Free-Video
Let's Code Physics

Pendulum Simulation with Jupyter - Fun with Lagrangians - Part 1

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Explore pendulum motion using Jupyter and Lagrangian mechanics. Create graphs to visualize equations of motion and gain insights into classical physics analysis.
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1 Lesons
15 minutes
On-Demand
Free-Video
Let's Code Physics

Pendulum Analysis Using Tracker and Lagrangian Mechanics

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Explore pendulum motion through experimental analysis and Lagrangian mechanics, uncovering surprising insights into classical physics principles.
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1 Lesons
17 minutes
On-Demand
Free-Video
Inside Livermore Lab

Structure-Preserving Learning of High-Dimensional Lagrangian and Hamiltonian Systems

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Explore structure-preserving learning for high-dimensional Lagrangian and Hamiltonian systems, focusing on reduced-order models in mechanics, robotics, and wave propagation for enhanced stability and predictive accuracy.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics: Sliding Bead on a Tilting Wire - Python Model

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Explore Lagrangian mechanics through a frictionless bead on a tilting wire, with Python modeling and visualization.
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1 Lesons
18 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics: The Half Atwood Machine

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Solve the equation of motion for a half Atwood machine using Lagrangian mechanics, exploring advanced physics concepts.
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1 Lesons
12 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Forces of Constraint - Will a Block Sliding Down a Parabola Ever Fall Off?

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Explore the dynamics of a block sliding on an inverted parabola, analyzing forces and determining when it loses contact with the surface.
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1 Lesons
28 minutes
On-Demand
Free-Video
Dot Physics

Review of Lagrangian Mechanics with Examples - Projectile Motion and Driven Spring Oscillation

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Explore Lagrangian mechanics through projectile motion and driven spring oscillation examples, including numerical calculations and Python implementation.
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5 Lesons
29 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics: Mass on Table with Swinging Mass Below

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Explore the dynamics of a two-mass system using Lagrangian mechanics, analyzing motion and forces in a frictionless table setup.
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1 Lesons
22 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics: Mass on a Frictionless Table with a Hole and Hanging Mass - Lecture

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Explore Lagrangian mechanics through a mass-string system, deriving equations, coding solutions, and analyzing energy and angular momentum graphs.
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8 Lesons
34 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics - Spring Mount Pendulum with Python and SymPy

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Explore Lagrangian mechanics through a spring-mounted pendulum, deriving equations of motion and utilizing Python with sympy for analysis and visualization.
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1 Lesons
34 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian - Bead on a Driven Hoop vs. Bead on a Free Hoop

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Explore the motion dynamics of beads on rotating hoops through Lagrangian mechanics, comparing driven and free rotation scenarios.
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1 Lesons
28 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics: The Jiggle Pendulum

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Explore Lagrangian mechanics through a unique oscillating pendulum model, using Python to simulate and analyze its motion.
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1 Lesons
21 minutes
On-Demand
Free-Video
Dot Physics

Bead on a Spinning Wire Hoop: Lagrangian Mechanics

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Explore Lagrangian mechanics through a bead on a spinning wire hoop problem. Learn coordinate systems, energy calculations, differential equations, and Python modeling.
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7 Lesons
36 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics: Swinging Atwood Machine

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Explore the motion of a swinging Atwood machine using Lagrangian mechanics and Python simulation.
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1 Lesons
25 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics - Block on a Movable Wedge

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Solve a complex physics problem using Lagrangian mechanics to analyze the motion of a frictionless mass on a movable wedge.
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1 Lesons
29 minutes
On-Demand
Free-Video
Dot Physics

Introduction to Lagrangian Mechanics - Comparison with Newtonian Mechanics

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Explore Lagrangian mechanics, comparing it to Newtonian physics. Learn to solve pendulum problems using both approaches and discover advanced applications like double pendulums.
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8 Lesons
25 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics: Bead on a Parabolic Wire

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Explore Lagrangian mechanics through a practical problem of a bead on a parabolic wire, including Python implementation for enhanced understanding.
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1 Lesons
17 minutes
On-Demand
Free-Video
Valence Labs

A Computational Framework for Solving Wasserstein Lagrangian Flows

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Explore a computational framework for solving Wasserstein Lagrangian flows, covering optimal transport variations and applications in single-cell trajectory inference.
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8 Lesons
1 hour 32 minutes
On-Demand
Free-Video
World Science Festival

On the Shoulders of Giants

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Renowned physicist Edward Witten explores fundamental concepts in physics, from waves to string theory, highlighting key contributions and unifying theories in this insightful World Science Festival lecture.
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9 Lesons
49 minutes
On-Demand
Free-Video
Dot Physics

Using Python and SymPy to Solve a Mass on a Rotating Hoop Problem

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Utilize Python and Sympy to solve complex physics problems, focusing on a mass rotating on a hoop using Lagrangian mechanics and differential equations.
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1 Lesons
17 minutes
On-Demand
Free-Video
Conference GSI

Learning Lagrangian Fluid Mechanics with E3 Equivariant Graph Neural Networks

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Explore Lagrangian fluid mechanics using advanced E3 equivariant graph neural networks for innovative computational modeling approaches.
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1 Lesons
23 minutes
On-Demand
Free-Video
Dot Physics

Modeling Kapitza's Inverted Pendulum with Python

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Explore Kapitza's inverted pendulum through Python modeling, using Lagrangian mechanics to simulate this fascinating physics phenomenon.
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1 Lesons
22 minutes
On-Demand
Free-Video
Dot Physics

Equations of Motion for Coupled Oscillators

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Explore equations of motion for coupled oscillators, focusing on systems with equal masses and springs. Learn to derive and analyze these fundamental physics concepts.
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1 Lesons
27 minutes
On-Demand
Free-Video
Dot Physics

Hamiltonian Mechanics for Projectile Motion in Polar Coordinates

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Explore Hamiltonian mechanics for projectile motion using polar coordinates, with Python code implementation for practical understanding.
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1 Lesons
26 minutes
On-Demand
Free-Video
HyperComplex Seminar

Non-linear Electrodynamics Derived from Kaluza-Klein 5-Dimensional Gravity

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Explore non-linear electrodynamics derived from Kaluza-Klein theory, examining unique Maxwell equation generalizations and potential static solutions as electron models.
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1 Lesons
55 minutes
On-Demand
Free-Video
Dot Physics

Newtonian, Lagrangian, and Hamiltonian Methods for Simple Pendulum Motion

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Explore three methods for deriving pendulum equations of motion: Newtonian, Lagrangian, and Hamiltonian. Compare approaches and visualize results using Python.
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7 Lesons
39 minutes
On-Demand
Free-Video
Dot Physics

Hamiltonian Mechanics: Mass on a Cone with Gravity

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Explore Hamiltonian mechanics through a mass-on-cone problem, using Python to model and analyze the motion in a gravitational field.
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1 Lesons
31 minutes
On-Demand
Free-Video
Dot Physics

Three Ways to Solve a 4-Mass Oscillator: Energy, Python, and Lagrangian - Lecture

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Explore three approaches to solving a complex 4-mass oscillator problem: energy analysis, Python simulation, and Lagrangian mechanics using SymPy.
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4 Lesons
52 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

MaZe: A New Approach for Simulating Adiabatic Systems - Lecture

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Explore MaZe, a novel approach for simulating adiabatic systems in physics. Learn about its applications in first principles simulations, polarizable systems, and ionic transport studies.
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1 Lesons
39 minutes
On-Demand
Free-Video
PCS Institute for Basic Science

Fractional Conductances in Strongly Interacting 1D Systems

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Explore fractional conductances in strongly interacting 1D systems with N channels. Analyze conditions for perturbation coexistence, gap opening, and conductance calculations in complex quantum systems.
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1 Lesons
58 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Variational Principles in Physics - Standard Prejudices and Paradoxes

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Explore variational principles in physics, challenging standard assumptions and uncovering paradoxes with Professor Jerzy Kijowski's insightful seminar.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics - Mass Sliding Off a Frictionless Sphere Using Lagrange Multipliers

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Explore the physics of a mass sliding off a frictionless sphere through Lagrangian mechanics and Lagrange multipliers, with practical Python implementation and visual demonstrations.
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1 Lesons
28 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics - Would a Block Fall Off a Parabolic Path?

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Explore the physics of a mass sliding on a frictionless parabolic slope using Lagrangian mechanics and constraint forces to determine if it loses surface contact.
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1 Lesons
23 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics - Using Lagrange Multipliers to Find Forces of Constraint

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Explore how Lagrange multipliers determine constraint forces in mechanical systems, focusing on the Half Atwood Machine example and tension calculation methods.
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1 Lesons
19 minutes
On-Demand
Free-Video
Dot Physics

Python Physics: Numerical Modeling of a Chain Sliding Off a Table

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Explore the physics of a sliding chain through numerical modeling in Python, demonstrating classical mechanics principles with practical code implementation and visualization.
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1 Lesons
22 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics - Chain Sliding Off a Table

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Explore the dynamics of a chain sliding off a frictionless table through Lagrangian mechanics, including derivation of equations and Python implementation.
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1 Lesons
28 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics - Two Masses Connected by String Through Table

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Explore the dynamics of connected masses through a table hole using Lagrangian mechanics, featuring practical Python code implementation and motion equations.
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1 Lesons
40 minutes
On-Demand
Free-Video
Dot Physics

Python Physics: Symbolic Lagrangian Solutions Using SymPy

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Master symbolic computation in physics by solving pendulum equations using Python's Sympy library, combining classical mechanics with modern computational methods.
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1 Lesons
24 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics - Bead on a Rotating Hoop

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Explore the dynamics of a bead on a rotating hoop through Lagrangian mechanics, featuring practical Python implementations and detailed mathematical analysis.
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1 Lesons
30 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics - Mass Sliding on a Moveable Wedge

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Explore the dynamics of a mass-wedge system through Lagrangian mechanics, deriving equations of motion and understanding the interplay of forces in this classical physics problem.
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1 Lesons
27 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics - Modeling a Pendulum on an Oscillating Mount

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Explore the fascinating dynamics of a pendulum with an oscillating mount through Lagrangian mechanics, including Python-based modeling and motion analysis.
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1 Lesons
30 minutes
On-Demand
Free-Video
Dot Physics

Classical Mechanics - Introduction to Lagrangian Mechanics

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Explore the fundamental principles of Lagrangian mechanics, a powerful mathematical framework for analyzing physical systems and understanding classical mechanics.
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1 Lesons
24 minutes
On-Demand
Free-Video
Dot Physics

Lagrangian Mechanics - Motion Along Straight, Circular and Parabolic Paths

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Explore Lagrangian mechanics through practical examples, modeling frictionless bead motion along straight, circular, and parabolic paths using Python simulations.
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1 Lesons
31 minutes
On-Demand
Free-Video