A small fraction of rope hangs from a frictionless table,if the length of rope is L, find the speed with which the rope will leave the table

Question

Kartik · Answer

Let small part of chain hang be x and let this chain with small part move by dx so its potential energy is Mxg×dx/L integrate to give Mgx^2/2L .Put limit from 0 to L and potential energy is MgL/2. So use energy conversation to get Mv^2/2=MgL/2 and v=(gl)^1/2

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A small fraction of rope hangs from a frictionless table,if the length of rope is L, find the speed with which the rope will leave the table

A small fraction of rope hangs from a frictionless table,if the length of rope is L, find the speed with which the rope will leave the table

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A small fraction of rope hangs from a frictionless table,if the length of rope is L, find the speed with which the rope will leave the table

A small fraction of rope hangs from a frictionless table,if the length of rope is L, find the speed with which the rope will leave the table

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