Gravity Oscillations and Lagrangian
PHYS 201 · Module 6
This module extends mechanics into gravitational orbits, oscillatory systems, and a first look at Lagrangian mechanics. Students connect Newtonian forces, energy methods, and generalized coordinates.
Lessons in this module
Newton's law of gravitation
Newton's universal law of gravitation describes attraction between masses. This lesson explains inverse-square gravity, gravitational fields, potential energy, and escape speed.
Orbital mechanics and Kepler's laws
Orbital motion follows from gravity and conservation laws. This lesson introduces circular orbits, orbital energy, Kepler's laws, and the connection between geometry and dynamics.
Simple harmonic motion
Simple harmonic motion occurs when acceleration is proportional to displacement and opposite in direction. This lesson covers spring-mass systems, energy, phase, and small oscillations.
Introduction to the Lagrangian
Lagrangian mechanics reformulates motion using energy and generalized coordinates. This lesson introduces the action principle, Euler-Lagrange equation, and simple examples.
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