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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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Introduction to Macroeconomics Course
Ch.8 Economic dynamics: Financial and environmental crises - The Economy 2.0 Macroeconomics @ CORE Econ
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Physical Illustration of an Unstable Equilibrium: Ball on a Hill
Tipping Point
Comparison of Stable and Unstable Equilibria
Imagine a local market for a specific type of rare collectible where prices have been consistent for months. A rumor starts that a famous celebrity is interested in these collectibles, causing a minor increase in demand and a slight rise in price. This initial price bump is noticed by speculators, who then enter the market, believing prices will continue to climb. Their buying activity further drives up the price, which in turn attracts even more speculators. Based on this chain of events, what is the most likely outcome for the price of these collectibles?
Bank Run Scenario Analysis
Neighborhood Dynamics Analysis
A national currency is held at a fixed value by its central bank, but this position is considered fragile by market analysts. Following an initial disturbance, the situation deteriorates. Arrange the following events in the correct chronological order to show how the system moves away from its initial point of balance.
Learn After
Imagine a ball is perfectly balanced at the very top of a smooth, rounded hill. If this ball is given a very small nudge to the side, which statement best analyzes the forces at play and the nature of its initial position?
Analyzing Equilibrium on a Hilltop
A ball resting at the very peak of a hill is considered to be in an unstable equilibrium. This is because if the ball is slightly displaced, a restoring force will act upon it, pushing it back to its original position at the peak.
Match each description of a ball's position with the type of equilibrium it represents.