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
editThis terminology is used in modelling:
Particle
editA body whose dimensions are so small compared with other lengths involved, it can be represented as a single point.
Bead
editA particle with a hole through the centre, allowing it to be threaded onto a string.
Lamina
editA flat object whose thickness is small, compared with its length and breadth. In a uniform lamina equal areas have equal masses.
Rigid body
editAn object made of particles which stay in the same position, relative to each other, regardless of the forces acting on it.
Rod
editAn 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
editAn object that is assumed to have no mass.
Inextensible String
editA string that has a constant length regardless of the forces acting on it.
Smooth surface
editA surface that has no frictional forces.
Peg
editA support from which a body may hang or rest.