Type a command or search the notes. Tab cycles completions. Up and down recall history when blank. Escape dismisses, then leaves the prompt.

[core/

]

Definitions from Mass, centroids and probability

All definitions from Mass, centroids and probability.

Back to Mass, centroids and probability

[DEFINITION]

Mass density of a lamina

A mass density $\rho(x,y)$ assigns mass per unit area to a lamina occupying a region $\Omega$ . For a physical lamina, $\rho\ge0$ and $\rho$ is integrable. The total mass is

M=\iint_\Omega\rho(x,y)\,dA.

When $\rho=1$ , the mass is the area of $\Omega$ .

[1]:Centre of mass and moments
[2]:Normalising a density

This page builds on Change of variables and polar coordinates.

Definitions from Mass, centroids and probability

Mass density of a lamina

On this page