Posted by **Karl** on Monday, October 10, 2011 at 6:39pm.

A box, open at the top, in form of a cube of edge length 40 cm, is constructed from a metal plate. Find the coordinates of the center of mass of the box with respect to x, y, and z coordinate system.

- physics -
**drwls**, Monday, October 10, 2011 at 7:27pm
Let the box bottom be centered at the origin, with sides parallel to the x and y axes.

The center of mass is at x = 0 and y = 0 for reasons of symmetry. For the z coordinate, take the area-weighted mean of the z coordinates of the centers of the four sides and bottom. That would be

z = 4*20/5 = 16 cm

(0,0,16)

## Answer This Question

## Related Questions

- calculus - A box is constructed out of two different types of metal. The metal ...
- Pre Cal - find the surface area of a box of hieght h whose base dimensions are p...
- Calculus - A box is constructed out of two different types of metal. The metal ...
- calculus - A box is constructed out of two different types of metal. The metal ...
- Math - An open box, no more than 5 cm in height, is to be formed by cutting four...
- Math - A box with an open top is to be constructed by cutting a-inch squares ...
- calculus - An open box of maximum volume is to be made from a square piece of ...
- Math - An open box , no more than 5 cm in height, is to be formed by cutting ...
- calculus - A box with a square base and an open top is to have a volume of 68in^...
- algebra - An open-top box is to be constructed from a 6 foot by 8 foot ...

More Related Questions