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Applications of Integrals: Moments and Centers of Mass: Introduction

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First published at 03:37 UTC on March 31st, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over further into applications of integrals in physics and engineering, and this time go over an introduction to moments and centers of mass. The center of mass is defined as the point at which keeps all the weights on a surface balance. The moment is defined as the multiplication of the mass with the distance to a point a given point, such as the fulcrum or origin of the axes. In this video I illustrate how the center of mass is simply the summation of the moments of all the masses divided by the total mass. This can also be interpreted as the point at which a mass equal to the total combined masses is balanced, and has a moment that equals the total combined moments. This is a very important concept to understand because it is used throughout engineering and physics so make sure to watch this introduction video! In later videos I will go over some useful examples illustrating how to apply integrals in solving for the centers of mass so stay tuned!

Download the notes in my video: https://onedrive.live.com/redir?resid=88862EF47BCAF6CD!104530&authkey=!AMa-2IWZKhZZspY&ithint=file%2cpdf

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/applications-of-integrals-moments-and-centers-of-mass-introduction

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