# Phys223.3

### Mechanics I Prof. Alexander Moewes

 Outline Information 1. Introduction Length, Time and Mass Vector calculus 2. The motion of a particle in one dimension (Chapter 2 in Fowles & Cassidy) Constant applied force Time dependent force Velocity dependent force Position dependent force 3. The harmonic oscillator (Chapter 3 in Fowles & Cassidy) Linear and Nonlinear Oscillations Damped harmonic oscillator Energy Damped harmonic motion Phase space Forced harmonic motion Resonances 4. Motion of a particle in two and three dimensions (Chapter 4 in Fowles & Cassidy) The different Coordinate systems Potential energy Del operator Harmonic oscillator in two and three dimensions Motion of a projectile Motion of charged particles Constrained motion 5. Central Forces  (Chapter 6 in Fowles & Cassidy) General considerations: linear and angular momentum, central force problem Gravitational field General solution: Equation of motion and energy method Orbital trajectories Kepler’s laws Inverse square field: Kepler’s laws and Rutherford scattering   6. Motion of a system of particles  (Chapter 7 in Fowles & Cassidy) Center of mass and linear momentum Conservation Laws Tow body problem: the reduced mass Collisions Many-body problem Motion of a body with variable mass: Rocket motion 7. Motion of Rigid Bodies in three dimensions (Chapter 8 in Fowles & Cassidy) Center of Mass Rotation about a fixed axis Static Equilibrium Laminar Motion Impulsive forces.