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

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

Every force has an equal and opposite reaction force

Connected bodies definition

Multiple objects linked & moving together

Step 1: Solving connected bodies

Draw separate free body diagrams for each object

Step 2: Solving connected bodies

Apply F=maF=ma for each body with consistent acceleration

Step 3: Solving connected bodies

Consider tension acts in opposite directions

Tension magnitude on connected objects

Same magnitude but opposite direction

Why 'light' string matters

No extra weight added to particles

Why 'inextensible' string matters

Both particles accelerate at same rate

Best positive direction choice

Direction of motion (easier calculations)

P equation (5kg, 40N force, 10N friction, tension TT, accel aa)

30T=5a30 - T = 5a

Q equation (3kg, tension TT, 6N friction, accel aa)

T6=3aT - 6 = 3a

Accel. (P:5kg,Q:3kg,40N pull,friction 10N&6N)

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

Tension (P:5kg,Q:3kg,40N pull,friction 10N&6N)

15N15 \, \text{N}

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