There's a rod, 1 m long and by itself weighing 1 kg, with two balls attached at each of the sides, one weighing 2 kg, and the other 4 kg. The balls are put upon two scales. What force is applied upon each of the scales (e.g. what do the scales show)?
This is a problem that I'm trying to resolve not putting exact numbers to it, but just mentally to get to see how the forces work. So right now I don't have any equations to operate with.
The Attempt at a Solution
I was thinking each of the scales would show at least the weight x g of each of the balls. What I'm having problems with is how much of the weight of the rod would "show". Would I be correct in assuming that I need to find the center of gravity of the said rod (when the balls are attached to it) and then add the weight (force of gravity) of the rod, left and right of the said center, to the respective scales (weight of the rod's part left of the center to the left's ball weight and the rod's part right of the center to the right ball's weight)?
I'm sorry if I didn't put the question and the attempt at the solution in proper english terms, but I'm not yet familiar with them.
Thanks in advance.