Tilting (Edexcel A-Level Mathematics): Flashcards

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Tilting
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What causes a rigid body to start tilting?

Unbalanced moments from external forces cause the tilt.

Define the moment in mechanics.

Moment = Force ×\times Perpendicular Distance from the Pivot.

Define the centre of mass in a physical object.

It's the average position of all mass in the object.

What happens to the normal force during tilting?

It may decrease to zero at the edge that starts tilting.

Condition for tilting in objects?

Resultant force's line of action must exit the base support.

What initiates tilting with a horizontal force?

When applied force moment equals the weight moment.

How is the moment of applied force calculated?

Moment = Applied force FF × Height hh.

What is the tilting condition equation?

F×h≥mg×(w/2)F \times h \geq mg \times (w/2) for tilting to occur.

What minimum force is needed to tilt the box?

F≥mg×(w/2)hF \geq \frac{mg \times (w/2)}{h} for box to start tilting.

How can you prevent tilting?

Lower centre of mass, widen base, or add weight.

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