Coefficient of Friction - Inclined Planes (Edexcel A-Level Mathematics): Flashcards

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Coefficient of Friction - Inclined Planes
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μ\mu when object just about to slide on slope (angle θ\theta)

μ=tan⁡θ\mu = \tan \theta

Two main forces on block on slope

Gravitational force (mgmg) and normal force (RR)

Direction of gravitational force

Vertically downward

Direction of normal force on slope

Perpendicular to slope surface

Component of mgmg parallel to slope (angle θ\theta)

mgsin⁡θmg \sin \theta

Component of mgmg perpendicular to slope (angle θ\theta)

mgcos⁡θmg \cos \theta

Max frictional force formula

Fmax=μRF_{\text{max}} = \mu R

Normal force RR on inclined plane

R=mgcos⁡θR = mg \cos \theta

Direction frictional force acts

Opposes the direction of motion

Condition for block to just start sliding down

mgsin⁡θ=μRmg \sin \theta = \mu R

When does block slide down slope?

When mgsin⁡θ>μRmg \sin \theta > \mu R

Critical angle on inclined plane

Angle θ\theta where object starts to slide

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