Calculating Mass and Centroids Through Double Integration

Calculating Mass and Centroids Through Double Integration -...

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Lizzie Wagner Calculating Mass and Centroids Through Double Integration Applying multiple integration is a useful technique for computing the area, volume, mass, or the location of center of mass of a given region. When solving for mass, the appropriate form of integration is known as “double integration”. This is necessary because any given region must have at least two dimensions to integrate over. Finding mass through integration at first seems difficult. But, by breaking the process down into steps and understanding each of those steps thoroughly, what looks like an impossible task is finally seen as an easy calculation. In order to setup a system for integrating with respect to mass, it is imperative that one first comprehends the terminology. To solve for mass the key terms to learn are density, lamina, area, and region. When a problem refers to a “lamina with uniform density”, it means that the space that is being integrated over is a thin plate-like region that has the same concentration of mass per unit
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Calculating Mass and Centroids Through Double Integration -...

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