Equilibrium (AQA A-Level Further Maths): Quizzes

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Equilibrium
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What defines an object in equilibrium?

No net motion from forces and couples

What does 'coplanar' mean in the context of equilibrium?

All forces lie in the same plane

What are the two essential conditions for equilibrium?

Zero resultant force and zero total moment

How many equations do you solve simultaneously for equilibrium problems?

Three equations

What characterizes reactions at smooth surfaces?

Perpendicular to surface, no friction

Why choose a moment point where unknown forces act?

To eliminate them from moment equation

What are the three standard equilibrium equations?

∑Fx=0\sum F_x = 0, ∑Fy=0\sum F_y = 0, ∑M=0\sum M = 0

What is the vector product formula for moment about point QQ?

M=r×F\mathbf{M} = \mathbf{r} \times \mathbf{F}

What defines a couple?

Resultant force zero, total moment non-zero

In which directions are forces typically resolved for equilibrium?

Horizontal and vertical (perpendicular)

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