webwork spring201617 stewartBe 6,4 7 La Tech Stewart e 6.4: Problem 7 Previous P

Question

webwork spring201617 stewartBe 6,4 7 La Tech Stewart e 6.4: Problem 7 Previous Problem Neat poing Achain 21 feet long whose weight is 61 pounds is hanging over the edge of a tall building and does not touch the ground. How much work is required to lift the entire chain to the top of the building? Your answer must include the comectunits. (You may enter bf or b for b) ems wor You have attempted this problem o times. You have unlimited attempts remaining. Page generated at caasao17 on taom cor Wirework 1996-201 marhel ww.version 2.10Ipg verwon 2.10 The wrework Project

Explanation / Answer

Solution:

let the chain be lifted at 1 ft/s
W = F ds
... s = 21 - t ds = -dt
... F = 61/21 (21 - t)
W = 61/21 (21 - t) dt [0,21]
W = 61/21 (21t - t^2 / 2) [0, 21]
W = 61/21 (21*21 - 21^2 / 2)
Work = 640.50 ft-lbs

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