Center of Mass calculations

by aaronfue
Tags: calculations, mass
aaronfue is offline
Nov9-12, 11:33 AM
P: 122
Just some things I need to verify:

When finding the x-bar of the function y=x3 using the equation:

[itex] \bar{x} [/itex] = [itex]\frac{∫\tilde{x}dm}{∫dm}[/itex],

Is my [itex]\tilde{x}[/itex] going to be the x distance(which will just be "x") times x3?

Also, will x3 be in the denominator just before "dm"?

The same process is done for the [itex]\tilde{y}[/itex], am I correct?

If I am also given a density [itex]\rho[/itex], will that stay in front of each integrand or in front of ([itex]\frac{∫\tilde{x}dm}{∫dm}[/itex])?

Is the same process is done for the [itex]\tilde{y}[/itex] or are there differences?

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Simon Bridge
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