You balance a broom horizontally on your finger such that your finger is present on the center of the gravity of the broom (precisely). You mark the spot and cut the broom into two halves. You are left with two pieces - one long piece with the handle and one short piece with bristles and a portion of handle.

If you weigh both the pieces now, what will happen?
a) The longer piece weighs more.
b) The shorter piece weighs more.
c) Both pieces weighs equal.

The shorter piece will weigh more.

This will happen because to hold the long piece, more torque is needed. You can see a live example if you make a fat kid sit on the opposite corner of the see-saw to a thin kid. The fat kid will have to sit closer in.