The conservation of mass-moment parameters

TL;DR

This paper introduces the concept of mass-moment parameters as a generalization of mass and inertia moments, exploring their conservation in continuous media motion and deriving related kinematical results.

Contribution

It presents a new generalized framework for mass-moment parameters and investigates their conservation properties in the dynamics of continuous media.

Findings

Mass-moment parameters are conserved under certain conditions.

Kinematical results related to the conservation of these parameters are derived.

The concept extends traditional mass and inertia moments to a broader context.

Abstract

In this paper we study a concept of mass-moment parameter which is the generalization of the mass and the moments of inertia of a continuous media. We shall present some interesting kinematical results in the hypothesis that a set of mass-moment parameters are conserved in a motion of a continuous media.