Analytical Mechanics (II)
- Dynamics of a system of particles
Center of mass
Linear momentum of system
Angular momentum of system
& conservation lows
- Elastic Collisions of Two Particles
Kinematics of Elastic Collisions
Inelastic Collisions
- Scattering Cross Sections
Rutherford Scattering Formula
Rocket Motion
- MOTION IN A NONINERTIAL REFERENCE FRAME
Rotating Coordinate Systems
- Centrifugal and Coriolis Forces
Motion Relative to the Earth
Coriolis Force Effects
- DYNAMICS OF RIGID BODIES
Simple Planar Motion
Inertia Tensor
Angular Momentum
- Principal Axes of Inertia
Moments of Inertia for Different Body Coordinate Systems
Further Properties of the Inertia Tensor
- Eulerian Angles
Euler's Equations for a Rigid Body
Force-Free Motion of a Symmetric Top
- Motion of a Symmetric Top with One Point Fixed
Stability of Rigid-Body Rotations
- COUPLED OSCILLATIONS
Two Coupled Harmonic Oscillators
Weak Coupling
- General Problem of Coupled Oscillations
Orthogonality of the Eigenvectors
Normal Coordinates
- Molecular Vibrations
Three Linearly Coupled Plane Pendulaan Example of Degeneracy
The Loaded String
- CONTINUOUS SYSTEMS; WAVES
Continuous String as a Limiting Case of the Loaded String
Energy of a Vibrating String
- Wave Equation
Forced and Damped Motion
General Solutions of the Wave Equation
- Separation of the Wave Equation
Phase Velocity, Dispersion, and Attenuation
Group Velocity and Wave Packets