Mechanics I
Prof. Alexander Moewes











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

Damped harmonic motion

Phase space

Forced harmonic motion


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


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.


Course Objectives




Course Outline