Coefficient of Friction - F = ma (Edexcel A-Level Mathematics): Flashcards

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Coefficient of Friction - F = ma
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Type of force that friction is

Resistive force

Dimensionality of coefficient of friction

Dimensionless quantity

Symbol for coefficient of friction

μ\mu

Formula defining μ\mu (coeff. of friction)

μ=FfrictionN\mu = \frac{F_{\text{friction}}}{N}

Formula for frictional force

Ffriction=μNF_{\text{friction}} = \mu N

Static friction μs\mu_s must overcome to...

Start motion

Kinetic friction μk\mu_k acts on objects...

Already in motion

Normal force on horizontal surface

N=mgN = mg

Net force (horizontal surface with friction)

F−μmg=maF - \mu mg = ma

Acceleration (horizontal with friction)

a=F−μmgma = \frac{F - \mu mg}{m}

Normal force on incline at angle θ\theta

N=mgcos⁡θN = mg \cos \theta

Friction force on incline

Ffriction=μmgcos⁡θF_{\text{friction}} = \mu mg \cos \theta

Acceleration on incline (with friction)

a=g(sin⁡θ−μcos⁡θ)a = g(\sin \theta - \mu \cos \theta)

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