You balance a broom horizontally on your finger in such a way that your finger was exactly on the broom's center of gravity.

Now, if you marked that spot and cut the broom in two, then you would have a long and a short piece.

The long piece constitutes most of the handle and the short piece being bristle and a small part of the handle.

Which will now weigh more: the short piece or the long piece or, will they weigh the same? Give reasons for your answer.