Short vs Tall: How Centre of Gravity Affects Stability in Individuals

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Assuming that all other conditions are the same, is a short person more stable than a tall person?

Is the centre of gravity lower for a short person?
 
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"Stability" is a relative term. It is generally determined by the position of the center of mass and the "support base," and the tip angle at which the CM goes beyond the support base. Stability is different in different planes, so analysis of stability is done in 2 dimensions

If all things are scaled up or down precisely, what would that say about the proportions and ratios of distances and angles?