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Mechanics · Forces & Newton's laws

Chapter 1 · 3

The idea

Statics — equilibrium under several forces

A particle in equilibrium has zero resultant, so resolving in two perpendicular directions gives two equations — used to find unknown forces or angles, including on rough slopes where friction is at its limit (F = μR) on the point of moving.

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Mechanics · Forces & Newton's laws

Statics — equilibrium under several forces

A particle in equilibrium has zero resultant, so resolving in two perpendicular directions gives two equations — used to find unknown forces or angles, including on rough slopes where friction is at its limit (F = μR) on the point of moving.

Why it works

Balance in every direction

A crate parked on a ramp, a sign hanging from two wires, a box that stays put while someone pulls at an angle — nothing is moving, and nothing moving is information. A particle in equilibrium is the resolving idea pushed to its most useful form: the resultant force is zero, so the forces balance in every direction. Resolve in two perpendicular directions and each total is zero — two equations, enough for two unknowns.

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