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If you hang vertically some length of a long uniform inextensible rope the longest hanging...

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If you hang vertically some length of a long uniform inextensible rope the longest hanging length is lo 2 m that does not break due to its own weight Now you cut a length of the rope and place it straight on a horizontal frictionless table with a little length hanging over the edge so that it begins to slide down when released What maximum length can this piece have so that it does not break during sliding

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