The term "balanced weight" refers to a condition where an object is in equilibrium, meaning that all forces acting on it are balanced out. This can occur when an object is at rest or in motion, and its center of mass remains unchanged throughout the process. In other words, if you were to draw a line through the center of gravity of an object, any weight added or removed from either side would cause the object to remain level. The concept of balanced weight can be applied to various situations such as scales, where the weights on each end are equal and opposite, resulting in balance.