How can two objects with different masses be in balanced equilibrium on a beam with a pivot at the beam center of mass

Answer is given below

Explanation:

Since the two objects have different masses, their weight varies.  For balance, they must be unequal from the center The lower weight should be placed at a greater distance from the center on one side, and a shorter distance from the center point on the other side, compared to the heavier weight. The sum of the moments of the energies must be zero.