Families of Hyper-Semitoric Systems in Mathematical Physics
Explore finite dimensional integrability in mathematical physics, focusing on families of (hyper)semitoric systems. Gain insights from Y. Le Floch's research at IRMA.
Poisson-Lie Analogues of Spin Sutherland Models
Explore finite dimensional integrability in mathematical physics, focusing on Poisson-Lie analogues of spin Sutherland models.
Classical Mechanics: Comparing Fall Times of Dropped and Launched Balls
Explore the impact of air resistance on falling objects through a comparative analysis of dropped and horizontally launched balls using various drag models.
Classical Mechanics: Linear Motion with Quadratic Drag
Explore linear motion with quadratic drag in classical mechanics, deriving velocity and position functions over time using Python simulations.
Classical Mechanics: 2D Projectile Motion with Linear Drag
Explore 2D projectile motion with linear drag, analyzing range and velocity for specific scenarios like a tiny ice ball launch. Includes Python code demonstration.
Classical Mechanics: Falling Object with Linear Drag
Explore falling objects with linear drag, analyzing velocity and position over time. Includes Python modeling for practical application.
Classical Mechanics: Cylindrical Coordinates - Mass on a Cylinder
Explore cylindrical coordinates in classical mechanics, analyzing particle motion on a vertical cylinder surface using Newton's second law.
Classical Mechanics: Pendulum in Polar Coordinates - Python Modeling
Explore pendulum motion using polar coordinates and Newton's second law, with Python implementation for practical modeling.
Classical Mechanics: Jump Start with Simple Harmonic Motion - Mass on a Spring
Explore simple harmonic motion through mass-spring systems, including realistic scenarios and numerical calculations using Python.
Physics: Front Wheel vs. Rear Wheel Drive Car Acceleration
Explore the physics behind front-wheel vs. rear-wheel drive car acceleration through calculations and Python code analysis.
Structure-Preserving Learning of High-Dimensional Lagrangian and Hamiltonian Systems
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.
Physics: Motion in One Dimension - Lecture 2
Explore one-dimensional motion concepts, including speed, velocity, kinematic equations, and calculus applications in physics.
Lagrangian Mechanics: Sliding Bead on a Tilting Wire - Python Model
Explore Lagrangian mechanics through a frictionless bead on a tilting wire, with Python modeling and visualization.
Moment of Inertia for a Ring About an Axis in the Plane of the Ring
Derive the moment of inertia for a ring rotating about an axis in its plane, with Python code implementation included.
Lagrangian Mechanics: The Half Atwood Machine
Solve the equation of motion for a half Atwood machine using Lagrangian mechanics, exploring advanced physics concepts.
Solving the Brachistochrone Problem with Random Numbers
Discover the fastest path for a frictionless bead using random numbers to solve the Brachistochrone problem in physics.
Physics Problem: Heavy Crate Falling on a Spring
Solve a complex physics problem involving a heavy crate falling onto a spring, calculating impact speed and spring constant.
Classical Mechanics: Central Force Problem with Python - Problem 25
Solve a central force problem in classical mechanics using Python, focusing on effective potential, energy analysis, and trajectory plotting.
Lagrangian Forces of Constraint - Will a Block Sliding Down a Parabola Ever Fall Off?
Explore the dynamics of a block sliding on an inverted parabola, analyzing forces and determining when it loses contact with the surface.
Lagrange Multipliers: Force of Constraint for a Pendulum
Explore Lagrange Multipliers to determine pendulum constraint force, utilizing Python for numerical solutions and work-energy verification.
Review of Lagrangian Mechanics with Examples - Projectile Motion and Driven Spring Oscillation
Explore Lagrangian mechanics through projectile motion and driven spring oscillation examples, including numerical calculations and Python implementation.