Dot Physics Courses

Hamiltonian: Particle on a Frictionless Cylinder with a Force

Explore particle motion on a frictionless cylinder under external force using Hamilton's equations and Python simulation.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Hamiltonian Mechanics for Projectile Motion in Polar Coordinates

Explore Hamiltonian mechanics for projectile motion using polar coordinates, with Python code implementation for practical understanding.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Hamiltonian Mechanics for Projectile Motion and the Liouville Theorem

Explore Hamiltonian mechanics applied to projectile motion, including an examination of the Liouville Theorem in this advanced physics discussion.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

Angular Momentum in Physics - Lecture Chapter 11

Explore angular momentum principles, torque, cross products, and related concepts in physics through clear explanations and examples.

• YouTube
• 20 minutes
• Self-Paced
• Free Video

Newtonian, Lagrangian, and Hamiltonian Methods for Simple Pendulum Motion

Explore three methods for deriving pendulum equations of motion: Newtonian, Lagrangian, and Hamiltonian. Compare approaches and visualize results using Python.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

How Can a Collision Conserve Momentum but Not Kinetic Energy?

Explore momentum conservation and kinetic energy loss in collisions through Python modeling, unraveling the interplay between mass and velocity.

• YouTube
• 30 minutes
• Self-Paced
• Free Video

Modeling 2D Collisions in Python with Fake Forces

Simulate 2D collisions using Python and fake forces. Learn a simplified approach to modeling object interactions in programming.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

Matter and Interactions Physics - Translation, Rotational, and Vibrational Energy - Chapter 9

Explore center of mass, momentum, kinetic energy types, angular velocity, and moment of inertia in particle systems. Gain insights into translational, rotational, and vibrational energy concepts.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Equations of Motion for Coupled Oscillators

Explore equations of motion for coupled oscillators, focusing on systems with equal masses and springs. Learn to derive and analyze these fundamental physics concepts.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Drawing the Spherical Volume Element in Python

Visualize spherical volume elements using Python and VPython, enhancing understanding of sphere geometry and moment of inertia calculations.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Physics Analysis of Impact Forces in the Paltrow Ski Trial

Analyze impact forces in the Sanderson v. Paltrow ski trial, examining expert calculations and physics principles to determine accuracy.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Moment of Inertia for a Sphere About a Fixed Axis

Derive the moment of inertia for a sphere and explore a Monte Carlo simulation using Python, enhancing understanding of rotational dynamics.

• YouTube
• 20 minutes
• Self-Paced
• Free Video

Three Methods for Vector Addition in Mathematics

Learn three effective methods for solving vector addition problems: graphical, law of sines and cosines, and vector components.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Principal Axes of Inertia Without the Inertia Tensor

Explore principal axes of inertia using a three-mass model, with Python code and visual demonstrations. Builds on previous concepts of moment of inertia and angular momentum.

• YouTube
• 20 minutes
• Self-Paced
• Free Video

Angular Momentum and Moment of Inertia Tensor for 3 Masses - Python Tutorial

Calculate center of mass, moment of inertia tensor, and angular velocity vector for three masses using Python. Includes code implementation and mathematical concepts.

• YouTube
• 27 minutes
• Self-Paced
• Free Video