The uniform rod shown in Figure P12.10 is fixed to an axis going through its center, so that it is free to rotate clockwise or counterclockwise. It has four hooks: one at each end of the rod and one halfway between the center (axis) and each end. You need to hang four objects from this rod, with one and only one object on each hook, after which the rod must be balanced. The objects have masses M, 3 M, 5 M, and 9 M, respectively. How can this be accomplished?

Data from Figure P12.10