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Lesson Lecture Title
23000Introduction
23010Rigid Bodies
23020Properties of the Inertia tensor
23030Angular Momentum
23040The Inertia Tensor
23050Proof that Iij is a Tensor
23060Euler's Equations
23070Applications of Euler's Equations-Torque Free Top
23080Euler Angles
23090Application of Euler Angles to the Symmetric Top
23100Motion in an Inertial Frame
23110The Symmetric Top
23120Normal Mode Oscillations-Many Degrees of Freedom
23130The Normal Modes for Transverse Motion
23140Periodic Boundary Conditions
23150The Continuous String Problem
23160Lagrangian for a Continuous String
23170Hamilton's Principle for Continuous Systems
23180General Solution to the Wave Equation
23190General Wave Equation from Variational Principles
23200Phase Velocity and Dispersion
23210Superposition of Waves
23220Group Velocity de Broglie Waves and the Quantum Mechanics of Free Particles
23230Energy Conservation and Energy Flux
23240Energy Conservation and Energy Flux II
23250Introduction to Fluid Dynamics
23260Fluid Motion
23270The Continuity Equation
23280Applications to Incompressible Hydrostatic Equilibrium
23290Integration of Euler's Equations
23300Example: Flow with Rotation
23310Compressible Fluid Flow
23320Sound Waves
23330Fundamental Equations for an Ideal Fluid
23340Application of Bernoulli's Equation
23350Final Exam