Centres of Mass and Stability (AQA A-Level Further Maths): Quizzes

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Moments and Couples
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What is the formula for the moment of a force FF about a point?

F×xF \times x (perp. dist.)

What is the correct unit for measuring moments?

Newton metres (Nm)

Which sign convention is used for moments?

Anticlockwise positive, clockwise negative

What type of distance must be used when calculating moments?

Perpendicular distance to line of action

What is a couple?

Two equal opposite forces, not same line

What is special about the moment of a couple?

Same value regardless of reference point

What moment does a force produce when it passes through the pivot point?

Zero moment

What is the condition for rotational equilibrium?

Sum of all moments equals zero

For a force FF at angle θ\theta to a rod of length ll, what is the moment about the end?

FlsinθFl\sin\theta

Why choose a pivot where unknown forces act when taking moments?

Eliminates unknowns from moment equation

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