Question

A hole is made in a square tile of uniform thickness. The diagram shows the tile hanging loosely on a nail. Where is the centre of gravity of the tile?

Answer 1

Answer:

The center of gravity of the tile is at the center of the tile:

Examining 1/2 of the tile, each mass  point will have an equal mass point

on the other side of the tile (considering a line thru the center of the tile)

with coordinates opposite and equal of the point being considered.