Connected Particles (Leaving Cert Applied Maths): Flashcards

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Connected Particles
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What are connected particles?

A system of masses joined by inelastic strings via pulleys

Acceleration in connected particle systems

Both masses have same magnitude of acceleration

Tension in connected particle string

Constant throughout entire system

String assumptions in connected particles

Light (massless) and inelastic (doesn't stretch)

Equation for heavier mass moving down

mg−T=mamg - T = ma

Equation for lighter mass moving up

T−mg=maT - mg = ma

Which mass moves downwards when system is released?

The heavier mass

Method to solve connected particles problems

Analyse each mass separately using F=maF = ma

What to solve for first in connected particles?

Acceleration (aa)

Forces acting on each mass in the system

Weight (mgmg) downwards and Tension (TT)

Sign convention in connected particles

Typically upward positive, downward negative

Why is tension same throughout string?

String is light (massless) and inelastic

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