Finding The Centre of Mass

1. Nov 15, 2005

suspenc3

A cubical container has been constructed from metal plate of uniform density and negligible thickness. The box has an edge length of 40 cm.

Find the x, y, & z coordinates of the centre of mass of the box.

Im guessing that the x and y coordinates are found by the symmetry..But how do i find the y coordinate?

Any help would be appreciated

2. Nov 15, 2005

suspenc3

Now that I think about it, Wouldnt the y coordinate 0?

If this is right, is their any method to show my work, or is it all just found by symmetry?

3. Nov 15, 2005

Tubs

I'm guessing you mean how do you find the z coordinate. Since a box has uniform length in every dimension it is easy to find the COM in every component through symmetry.

4. Nov 15, 2005

suspenc3

what I meant was : "remember that the box has no top
I can find the centre of mass in the x & z directions through symmetry

How do i find the y component? then i thought about it and realized that it would be "0"...therefore the centre of mass is (20, 0, 20)?

How do I show work for this?