Work problem pulling chain up a wall?

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SUMMARY

The discussion focuses on calculating the work done in lifting a 10-ft chain weighing 24 lb from a hanging position to the ceiling. The correct approach involves using integration to sum the incremental work done on each segment of the chain. The integral from 0 to 5 of 2.4x is evaluated, resulting in a total work of 30 ft-lb, as the chain is lifted only half the distance to the ceiling. The initial miscalculation of 120 ft-lb was corrected upon further review of the problem statement.

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A 10-ft chain weighs 24 lb and hangs from a ceiling. Find the work done in lifting the lower end of the chain to the ceiling so that it is level with the upper end.

since you just take a little piece and add them up through an integral

wouldnt it be the integral from 0 to 10 of 2.4x

then to evaluate it you would get 1.2x^2 from o to 10

and get 120 ft-lb as your answer?

is that right or did i mess up somewhere?
 
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disregard this question. i read the question more carefully and figured out that it is only half the distance not the whole 10 feet
 

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