Particles on Slopes (Leaving Cert Applied Maths): Flashcards

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Particles on Slopes
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Property of connected masses via inextensible string

Same acceleration magnitude

Direction weight acts on mass on inclined plane

Vertically downward

Parallel component of weight on slope at angle AA

mgsin⁡Amg \sin A

Perpendicular component of weight on slope at angle AA

mgcos⁡Amg \cos A

Normal reaction RR on inclined plane formula

R=mgcos⁡AR = mg \cos A

Tension value throughout a light, inextensible string

Constant throughout

Law applied to each mass in connected system

Newton's second law

Meaning of negative acceleration result

Motion opposite to assumed direction

Effect of parallel component of weight

Causes mass to slide down incline

Effect of perpendicular component of weight

Presses mass against surface

Why resolve weight on inclined plane?

Weight doesn't act along slope

Key principle for inextensible string motion

Both masses move same distance in opposite directions

Direction tension acts on mass on slope

Up the slope

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