Why Modelling is Used
- Mechanics applies modelling to simplify real‑life situations into equations or graphs that can be solved.
- Assumptions are made to reduce complexity, but sometimes these need to be refined to improve accuracy.
- Different problems require different assumptions, and the choice of assumption directly affects the calculations.
Common Assumptions in Mechanics
- Gravity: Treated as constant and acting vertically downwards.
- Air Resistance: Often assumed negligible and ignored.
- Smooth Surface: No friction present.
- Rough Surface: Frictional force acts between the surface and any object in contact.
- Particle: Object has negligible dimensions, so all forces act at a single point.
- Rod/Beam: Treated as a long, rigid particle.
- Uniform Object: Mass is evenly distributed throughout.
- Light Object: Assumed to have zero mass.
- Inextensible String/Rod: Cannot be stretched.
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