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Question Number 226714 by mr W last updated on 11/Dec/25

Commented by mr W last updated on 11/Dec/25

a dry rope with mass m and length l   hangs free from two points with  distance b to each other. for some  reason the right half of the rope   becomes wet. if the wet rope is  twice as heavy as the dry one, how  much does the sag of the rope change?

$${a}\:{dry}\:{rope}\:{with}\:{mass}\:{m}\:{and}\:{length}\:{l}\: \\ $$$${hangs}\:{free}\:{from}\:{two}\:{points}\:{with} \\ $$$${distance}\:{b}\:{to}\:{each}\:{other}.\:{for}\:{some} \\ $$$${reason}\:{the}\:{right}\:{half}\:{of}\:{the}\:{rope}\: \\ $$$${becomes}\:{wet}.\:{if}\:{the}\:{wet}\:{rope}\:{is} \\ $$$${twice}\:{as}\:{heavy}\:{as}\:{the}\:{dry}\:{one},\:{how} \\ $$$${much}\:{does}\:{the}\:{sag}\:{of}\:{the}\:{rope}\:{change}? \\ $$

Answered by mr W last updated on 14/Dec/25

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