# A-level Mathematics/Edexcel/Mechanics 1/Mathematical Models in Mechanics

Mathematical modelling is the process of translating a real world problem into the language of mathematics, allowing the problem to be solved and a solution produced. The more accurate the model can result in a more accurate solution.

## Contents

## Terminology[edit]

This terminology is used in modelling:

### Particle[edit]

A body whose dimensions are so small compared with other lengths involved, it can be represented as a single point.

### Bead[edit]

A particle with a hole through the centre, allowing it to be threaded onto a string.

### Lamina[edit]

A flat object whose thickness is small, compared with its length and breadth. In a **uniform lamina** equal areas have equal masses.

### Rigid body[edit]

An object made of particles which stay in the same position, relative to each other, regardless of the forces acting on it.

### Rod[edit]

An object that only has length, and all its mass acts along a line. In a **uniform rod** equal lengths have equal masses. In a **non-uniform** rod, equal lengths do not have equal masses.

### Light object[edit]

An object that is assumed to have no mass.

### Inextensible String[edit]

A string that has a constant length regardless of the forces acting on it.

### Smooth surface[edit]

A surface that has no frictional forces.

### Peg[edit]

A support from which a body may hang or rest.