Using Moments - Equilibrium (AQA A-Level Mathematics): Flashcards

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Using Moments - Equilibrium
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Normal reaction at wall for ladder at 70°70° with 6060 N friction

6060 N (horizontal equilibrium)

Mass of 88 m ladder at 70°70° with 6060 N friction

33.6433.64 kg (using moments)

Tension in string for horizontal rod (2020 N, 33 m, 11 m above hinge)

31.6231.62 N

What is the principle of moments at equilibrium?

Sum of clockwise moments = sum of anticlockwise moments

Best pivot point choice when taking moments

Choose where unknown forces act (they produce no moment about that point)

Horizontal force equilibrium condition

sumFx=0sum F_x = 0

Vertical force equilibrium condition

sumFy=0sum F_y = 0

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