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Physics
Classical Physics
Mechanics
Forces exerted on an anchor point from a falling object
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[QUOTE="jbriggs444, post: 6289794, member: 422467"] You've given a formula. Can you motivate that formula? At a guess, that is for a massless wire rope which becomes taut and then stretches under the force the falling object. As you've explained, the "fall factor" is the ratio of drop distance to rope length. I think the formula you mean to write is:$$F_\text{max} = mg + \sqrt{2mg \times E \times A \times \frac{h}{l} + 2mg}$$ At a guess, E is Young's modulus for the rope and A is its cross-sectional area. I've used h for the fall distance and l for the rope length. m is obviously the object's mass and g is the acceleration of gravity. In reality, I suspect that you will get also get some cushioning from the "whip" effect as a rope that was not straight rapidly becomes straight when it tightens. It will be hard to quantify that and will require at least the rope's linear density as a parameter. [/QUOTE]
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Forces exerted on an anchor point from a falling object
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