Answer :
Final answer:
Objects with differing masses achieve balanced equilibrium on a center-pivoted beam by arranging the masses at varying distances from the pivot. The heavier mass should be closer to the pivot. This principle is often seen in seesaws and in a double-pan mechanical balance.
Explanation:
In physics, objects with dissimilar masses can still achieve balanced equilibrium on a beam pivoted at its center. This is possible by varying the distances at which the masses are placed from the pivot point. We see this principle in everyday items like a seesaw or balance scale.
Consider the leverage equation used in physics, 'm1 r₂ = r1m₂'. In a seesaw example, m1 and m2 represent the masses of two children and r1 and r2 are the distances at which the children sit from the pivot. To achieve balance, the heavier child must sit closer to the pivot.
The principle of balanced equilibrium also applies to a double-pan mechanical balance used to compare masses. An object of unknown mass is placed in one pan, and objects of known mass in the other. When the bar connecting the pans is horizontal, the masses in both pans are equal, indicating a state of equilibrium.
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