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

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Using Moments - Harder
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What is a nonuniform rod in mechanics?

A rod with varying mass distribution along its length.

Why might a nonuniform rod have an off-center mass?

Different thicknesses or materials affecting density.

What is the weight of rod AB in Problem 1?

The weight of rod AB is 6 N.

How far is the center of mass from A in Problem 1?

The center of mass is 2.4 m from A.

What is the method to find reactions at supports of a beam?

Use static equilibrium: sum forces and moments equal zero.

What is the total weight of the bar in Problem 2?

The weight of the bar is 1010 N.

What distance is the center of mass from AA in Problem 2?

The center of mass is 3.53.5 m from AA.

What are the conditions for forces in equilibrium?

The sum of all forces and moments must be zero.

How to simplify moment calculations?

Choose a pivot point where multiple unknowns act.

What must be resolved in sizing forces?

Resolve all forces into horizontal and vertical components.

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