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Physical Illustration of an Unstable Equilibrium: Ball on a Hill

A classic physical illustration of an unstable equilibrium is a ball resting on a hilltop. This position is an equilibrium because, if perfectly placed, there is no net force to move it. However, the equilibrium is unstable because if the ball is displaced by a shock, gravity acts as an amplifying force, pushing the ball further down the slope and away from its original position.

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Updated 2026-01-15

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