Applications of the Uniform Circular Motion Model (HSC SSCE Physics): Flashcards

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Applications of the Uniform Circular Motion Model
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Forces on object in horizontal circular motion

Gravitational force (mgmg) and tension force (FTF_T)

What force can a string provide?

Only tension (pulling force) along its length

Horizontal centripetal force (string at angle θ\theta)

FTcos⁡θ=mv2rF_T \cos\theta = \frac{mv^2}{r}

Vertical force balance in horizontal circular motion

FTsin⁡θ=−mgF_T \sin\theta = -mg

Tension at bottom of vertical circle

FT=mv2r+mgF_T = \frac{mv^2}{r} + mg

What provides centripetal force on flat corner?

Friction force on the tyres

How friction force relates to speed in cornering

Increases with square of velocity (v2v^2)

Factors reducing maximum friction on roads

Water, oil, mud, worn tyres, smooth surfaces

Banking angle equation for circular motion

mgtan⁡θ=mv2rmg \tan\theta = \frac{mv^2}{r}

Does ideal banking angle depend on vehicle mass?

No, it's independent of vehicle mass

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