Moments and Couples (AQA A-Level Further Maths): Flashcards

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Moments and Couples
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Definition of a moment

Turning effect of a force about a fixed point

Formula for moment about a point

M=F×xM = F \times x where xx is perpendicular distance

Sign convention for moments

Anticlockwise positive (+), clockwise negative (−)

Units for moments

Newton metres (Nm)

Condition for rotational equilibrium

Total moment = 0 or clockwise = anticlockwise moments

Definition of a couple

Two equal opposite forces not acting in same straight line

Formula for moment of a couple

M=F×dM = F \times d where dd is distance between forces

Key property of a couple's moment

Same value regardless of which point you calculate it about

Moment of force passing through pivot

Zero moment

Moment of force at angle θ\theta to rod of length ll

M=Flsin⁡θM = Fl\sin\theta

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