all articles
Freedom of Model Building
How do scientists decide which model to use when several can fit the same data? This post follows that question through the assumptions and creative choices behind scientific models, and looks at how physical reasoning and experiments help us decide which ones deserve our confidence.
Lagrangian Mechanics
This article provides an in-depth exploration of Lagrangian mechanics, detailing its foundation in the principle of stationary action, its connection to Newtonian mechanics, and its application to complex systems like oscillating pendulums and double pendulums through elegant energy-based equations of motion
Throwing at Wall
The article provides a solution to a David Morin textbook problem, determining the optimal angle to throw a ball at a wall for maximum height based on physics principles
Optimizing Trajectory Angle
This article explores optimizing the launch angle of a projectile to maximize the area under its trajectory using calculus and physics principles
Tensor Intro
This article provides an introduction to tensors, exploring their geometric and mathematical definitions, transformation rules, notation, and applications, with detailed explanations of vectors, covectors, and coordinate system changes