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

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Using Moments - Harder
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What is a nonuniform rod?

A rod with centre of mass not at its centre

Why nonuniform? (thickness)

Different thicknesses at different points

Why nonuniform? (material)

Different materials with different densities

Rod: 44 m, 66 N, COM 2.42.4 m from AA. Reaction at AA?

2.42.4 N

Rod: 44 m, 66 N, COM 2.42.4 m from AA. Reaction at BB?

3.63.6 N

Bar 55 m, reactions 33 N & 77 N. Weight?

1010 N

Bar 55 m, 1010 N, reactions 33 N & 77 N. COM from AA?

3.53.5 m

Best pivot point in moments problems?

Where unknown forces act (eliminates them from equation)

Vertical force equilibrium condition

sumFy=0sum F_y = 0

Moments equilibrium condition

sumextMoments=0sum ext{Moments} = 0

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