Connected Particles (Leaving Cert Applied Maths): Quizzes

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Connected Particles
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What are connected particles?

Masses joined by inelastic strings

What two key assumptions are made about the string in connected particle systems?

Light and inelastic

How does tension vary throughout the string in a connected particle system?

It remains constant

What is true about the acceleration of connected masses?

Same magnitude, possibly opposite directions

For a heavier mass moving downwards, what is the correct force equation using F=maF = ma?

mg−T=mamg - T = ma

For a lighter mass moving upwards, what is the correct force equation?

T−mg=maT - mg = ma

What is the first step in solving connected particles problems?

Analyse each mass separately

When solving simultaneous equations, which variable is usually eliminated first?

TT (tension)

What is the typical sign convention for connected particle problems?

Upward positive, downward negative

In a logic check, which mass should accelerate downwards?

The heavier mass

After calculating acceleration aa, how does it apply to the masses?

Same magnitude for both masses

After finding acceleration, what equations are used to find velocity or distance?

Standard equations of motion

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