Advanced Mechanics

Inertial Frames of Reference

3D Rotations & Euler Angles

The Angular Velocity Vector

Coriolis & Centrifugal Forces

Ball Moving Over Roundabout

Motion on Rotating Earth

Centre of Mass

Dynamic Imbalance

Principal Axis of a Rigid Body

Gyroscopic Motion

Ships Turbine Rotor

Bicycle Wheel

The Gyrocompass

Notation

Inertial Frames of Reference
Example 1: Inertial frame of reference fixed in a Laboratory (special case located on the equator)
Example 2: Inertial frame of reference fixed at the centre of the Earth, and does not rotate with it
Example 3: Inertial frame of reference located at the centre of the Sun, stationary with respect to the "fixed" stars