[Kodak]

Alright, let me set the picture:

You have a bar loaded with an equal amount of weight on each side. It is evenly balanced on a stand placed directly at its center point.

Now, somebody comes along and nudges the bar a distance of x units to the side - not enough to make it tip over, but enough to make the bar tilt.

The system is now out of balance, despite the fact that the bar is still loaded with equal weight on each side.

How can I figure out the downward force of the bar on the 'light' side and the 'heavy' side mathematically? I am not allowed to add weight to the light side until it becomes even - I must solve this on paper.

Can someone send me in the right direction with this?