Resolving Forces & Inclined Planes (Edexcel A-Level Mathematics): Flashcards

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Resolving Forces & Inclined Planes
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Assumption if no friction on slope

Smooth

Weight component parallel to slope

mgsin⁡θmg \sin \theta

Weight component perpendicular to slope

mgcos⁡θmg \cos \theta

Two directions to resolve forces on slope

Parallel and perpendicular to slope

When forces completely cancel each other

Equilibrium

What RR represents in slope problems

Normal reaction force perpendicular to slope

Newton's law for force problems

F=maF = ma or ∑F=ma\sum F = ma

Smooth pulley assumption about tension

Tension same on both sides of pulley

Direction friction acts on slope

Parallel to plane, opposes motion

Friction formula with μ\mu and normal force

Ffriction=μFnormalF_{\text{friction}} = \mu F_{\text{normal}}

What mgmg represents

Force due to gravity (weight)

Best axis alignment for slope problems

Parallel and perpendicular to the plane

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