Modelling Assumptions (Edexcel A-Level Mathematics): Flashcards

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Modelling Assumptions
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Particle assumption in mechanics

Object treated as point mass; size & shape ignored

Rigid body assumption

Shape & size remain constant; no deformation

Smooth surface assumption

Surface provides no friction

Rough surface implication

Friction calculated using coefficient of friction

Light object assumption

Object has negligible mass compared to others

Light object in string/pulley system

Tension is same throughout

Inextensible string assumption

String does not stretch under tension

Inextensible string implication for objects

Acceleration is same for all connected objects

Smooth pulley assumption

No friction; rotates without resistance

Smooth pulley implication for tension

Tension is same on both sides of pulley

Uniform body assumption

Uniform density; mass evenly distributed

Centre of mass in uniform body

At geometric centre of object

Value of gg in mechanics

9.8m/s29.8 \, \text{m/s}^2

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