Modelling in Mechanics

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Definitions of words regarding models and when they are used.
Matthew Young
Flashcards by Matthew Young, updated more than 1 year ago
Matthew Young
Created by Matthew Young over 8 years ago
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Question Answer
Particle The mass is considered to be concentrated at a single point. This means we can ignore air-resistance and rotational effects because there are no dimensions.
Rod An object with one dimension e.g ruler, pencil. This means the mass can be considered equally distributed along a straight line. A rod has no thickness and doesn't bend or buckle.
Lamina A 2D object. The mass is considered equally distributed across the flat surface.
Uniform Body An object with uniform density. This allows the mass to be considered concentrated at a single point at the geometrical centre of the body.
Light Object An object which has a very small mass in comparison with other objects. We treat it as having 0 mass.
Inextensible String A string that does not stretch under a load.
Inelastic string A string that does not stretch under a load.
Smooth Surface To model a surface as smooth means to ignore the effects of friction.
Rough Surface You need to consider the effects of friction when using rough surfaces.
Wire A rigid, thin length of metal, which is treated as being one dimensional. A wire can be smooth or rough.
Smooth and light pulley A pulley which has no friction and no mass.
Bead A particle which is threaded onto and moves freely along a wire or string.
Peg A point of suspension. A peg is treated as being dimensionless and is usually fixed. A peg can be rough or smooth.
Air Resistance Friction against an object as it moves through the air. Treated in M1 as negligible.
Wind Wind can be ignored unless specifically mentioned.
Gravity The attraction of all objects to the Earth. We take acceleration due to gravity as 9.8ms^-2
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