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.
Terminology[edit | edit source]
This terminology is used in modelling:
Particle[edit | edit source]
A body whose dimensions are so small compared with other lengths involved, it can be represented as a single point.
Bead[edit | edit source]
A particle with a hole through the centre, allowing it to be threaded onto a string.
Lamina[edit | edit source]
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 | edit source]
An object made of particles which stay in the same position, relative to each other, regardless of the forces acting on it.
Rod[edit | edit source]
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 | edit source]
An object that is assumed to have no mass.
Inextensible String[edit | edit source]
A string that has a constant length regardless of the forces acting on it.
Smooth surface[edit | edit source]
A surface that has no frictional forces.
Peg[edit | edit source]
A support from which a body may hang or rest.