(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need to find the center of mass of the given figure attached. I am given the density (7850 kg/m^3) and a thickness of 0.3 cm (not sure where this goes)

2. Relevant equations

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] \bar{x} [/itex] going to be the x distance(which will just be "x") times x^{3}dm?

Also, will x^{3}be in the denominator just before "dm"?

If I am also given a density ρ, will that stay in front of each integrand or in front of ([itex]\frac{∫ \tilde{x} dm}{∫dm}[/itex])? And would I calculate the thickness with the [itex]\bar{z}[/itex]?

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

I know this may be a lot but I'd like to make sure of the method.

Thanks!

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Center of Mass Calculation: x-bar, y-bar

**Physics Forums | Science Articles, Homework Help, Discussion**