Tilting (Edexcel A-Level Mathematics): Quizzes

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Tilting
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Moment formula for a force about a pivot?

Force ×\times perpendicular distance

Where does the weight of a rigid body act?

Centre of mass

Condition for tilting in terms of line of action?

Weight line of action outside base

Moment of a horizontal force FF at the top of box of height hh?

F×hF \times h

Moment of the box weight mgmg about pivot with width ww?

mg×w/2mg \times w/2

Formula for minimum horizontal force to tip a box?

mgw2h\frac{mgw}{2h}

Min FF for m=10kgm=10kg h=0.5mh=0.5m w=0.3mw=0.3m (g=9.8g=9.8)?

29.4 N

If F<mgw2hF < \frac{mgw}{2h} the box will:

Not tilt

Normal force at one edge reaches zero signals:

Start of tilting

Widening a base does what to stability?

Increases stabilising moment

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