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

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Using Moments - Harder
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What defines a nonuniform rod?

Centre of mass not at centre

Which can cause a rod to be nonuniform?

Different thicknesses at points

What else causes nonuniformity in rods?

Different material densities

A 44 m rod weighs 66 N, centre of mass 2.42.4 m from AA. Find reaction at BB (both ends supported).

3.63.6 N

For the same 44 m rod, what is reaction at AA?

2.42.4 N

A 55 m bar has reactions 33 N and 77 N at its ends. What is the bar's weight?

1010 N

For the 55 m bar with 33 N and 77 N reactions, find centre of mass distance from 33 N support.

3.53.5 m

Where does the weight act in moment calculations for a rod?

At the centre of mass

Why choose a pivot where unknown forces act?

Eliminates unknowns from equation

For equilibrium, what conditions must be satisfied besides moments?

∑Fx=0\sum F_x = 0 and ∑Fy=0\sum F_y = 0

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