Connected Bodies - Ropes & Tow Bar (AQA A-Level Mathematics): Flashcards

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Connected Bodies - Ropes & Tow Bar
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Newton's Third Law statement

Every force has an equal and opposite reaction force

Direction of tension in connected bodies

Tension acts in opposite directions on connected objects

Magnitude of tension on connected objects

Same magnitude but opposite direction

Acceleration in connected bodies

All connected bodies have the same acceleration

First step in connected bodies problems

Draw separate free body diagrams for each object

Why is 'light' string important?

It adds no extra weight to the particles

Why is 'inextensible' string important?

Ensures both particles accelerate at the same rate

Apply F=maF = ma in connected bodies

Write separate equations for each object

Acceleration: 5kg & 3kg, 40N force, 10N & 6N friction

3ms23 \, \text{ms}^{-2}

Tension: 5kg & 3kg, 40N force, 10N & 6N friction

15N15 \, \text{N}

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