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The Force of a Falling Chain

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The Force of a Falling Chain

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    1. The Force of a Falling Chain By Gina Giacone and Linda Lindsley

    2. The Set-up: “A very flexible uniform chain of length L and mass M is suspended from one end so that it hangs vertically,” the other end is hooked on a force sensor, though it exerts no force at the beginning.

    3. The Problem: To calculate the force that the chain exerts on the sensor as it falls to a position hanging from the hook of the sensor

    5. The chain itself is made up of links that are individual mass elements (dm), which are associated with their length increments (dx).

    16. As the final link comes to rest:

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