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Threads weave a path through the collection of articles. They correspond to a course or part of a course.

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2 Rotation Dynamics  

Rotating coordinate system

In a rotating coordinate system, a free particle moves in a way that appears to be affected by three forces: the centrifugal force, the Coriolis force and the Euler force. These forces arise only from the rotation of the coordinate system.

1 Rotation Dynamics  

2D Rotational Dynamics

The description of 2D rotational motion is further developed in analogue to linear dynamics by introducing the rotational equivalents of force, momentum and mass.

1 Rotation Dynamics  

2D Rotational Kinematics

The description of 2D rotational motion is developed in analogue to linear kinematics.

1 Linear Motion  

Review of Linear Motion

A simple review of the notation and some of the expressions for kinematics and dynamics along a line, for classical physics.

1 Linear Motion  

Centre of Mass

The centre of mass of a system of particles is derived as a fictitious point that behaves as if the mass of the entire system where concentrated there. Tricks for finding it are discussed.

2 Oscillators  

Dynamical system maps

The map of phase space of a dynamical system is a really convenient way of summarising the behaviour of a system. In particular it doesn't require a solution to the equations of motion.

2 Coupled Oscillators  

The Loaded String

The loaded string is a classic problem of coupled oscillators where \(N\) small masses are threaded onto a light string. It makes a nice transition for considering the continuum case and waves.

2 Coupled Oscillators Waves  

Continuum Limit of the Loaded String

The continuum limit of the loaded string is derived, arriving at the one dimensional wave equation.

2 Coupled Oscillators  

Coupled Oscillators

Coupling together two or more oscillators introduces a whole new level of complexity. It turns out that there is a particular way of looking at the system that makes it simple to solve the motion.

2 Oscillators  

Resonance

When an oscillator is driven at just the right frequency it hits resonance and absorbs energy from the driving. The details of resonance for a driven and damped harmonic oscillator are explored.