Mechanics · Forces & Newton's laws
Chapter 1 · 3
The idea
Resolving forces
Splitting a force at an angle into two perpendicular components, F cosθ and F sinθ — to add forces in any directions and to solve equilibrium by resolving in two perpendicular directions.
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Mechanics · Forces & Newton's laws
Resolving forces
Splitting a force at an angle into two perpendicular components, F cosθ and F sinθ — to add forces in any directions and to solve equilibrium by resolving in two perpendicular directions.
Why it works
Trade one awkward force for two easy ones
Pull a sledge with a rope at and the one force is doing two jobs at once: part of the pull drags the sledge forward, part of it tries to lift it off the snow. Mechanics needs those jobs separated. A force at an angle has exactly the same effect as two perpendicular forces acting together — one along your chosen direction and one at right angles to it — and replacing a force by that pair is resolving it.Keep reading — free
The rest of the explanation, plus 3 worked examples you step through move by move.
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