Back to home
Physics Wiki

Theory Catalog

Browse physics concepts in reference-style articles focused on definitions, equations, and intuition.

Theory Catalog

Build intuition with concise theory notes you can revisit while learning and problem-solving.

Beginner

#momentum

Momentum
A vector quantity that measures motion and is conserved in isolated systems.
Intermediate

#conservation

Conservation of Momentum
Total momentum stays constant in a closed system, even during collisions.
Beginner

#energy

Kinetic Energy
Moving bodies carry energy proportional to mass and speed squared.
Beginner

#conservation

Conservation of Energy
In ideal systems, energy changes form but total mechanical energy stays constant.
Intermediate

#collision

Elastic Collision
Elastic collisions preserve both momentum and kinetic energy.
Beginner

#pendulum

Small-Angle Approximation
When angle is small, sin(theta) can be approximated by theta.
Beginner

#oscillation

Simple Harmonic Motion
Linear restoring forces produce sinusoidal oscillation.
Beginner

#spring

Hooke's Law
Spring restoring force is proportional to displacement in linear range.
Intermediate

#damping

Damped Oscillation
Resistive effects remove energy and reduce amplitude over time.
Advanced

#nonlinear

Nonlinear Dynamics
Coupled pendulum systems follow nonlinear equations with rich behavior.
Advanced

#chaos

Chaos and Sensitivity
Deterministic systems can still be highly sensitive to initial conditions.
Advanced

#lagrangian

Lagrangian Mechanics
Complex coupled systems are often derived from energy-based variational principles.
Advanced

#numerical

Numerical Integration
Nonlinear systems are typically solved by time-stepping methods.