Relation between the first and second moments of distributions
H.M Yehia
TL;DR
This paper establishes a condition linking the position of a distribution's center of mass to its second moments, with applications to the relationship between mass center and inertia matrix in physical bodies.
Contribution
It introduces a new condition relating the distribution's center of mass to its second moments, with practical applications in physics and mechanics.
Findings
Derived a condition on the distribution's center of mass based on second moments
Applied the condition to relate the center of mass and inertia matrix of bodies
Provided an example illustrating the importance of the condition
Abstract
A condition on the location of the centre of a mass (or probability) distribution is found if its second moments are given. The result is applied to the relation between the centre of mass and the inertia matrix of bodies. An example is given to illustrate the importance of this condition.
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Taxonomy
TopicsHermeneutics and Narrative Identity · Aging, Elder Care, and Social Issues · Health, Medicine and Society