A chain, with length h = 100 feet and weighing3 pounds per foot, hangs over the side of abuilding.We are going to determine the work required tolift the chain to the top of the building.X = 0Xidix = hThis problem depends on the vertical coordinatesystem to the left.The force, F;, on the i" strip of the chain;thweight of the i" strip of the chain.;thFipoundsthThe distance, di, we are moving the i" strip isdifeet(Must relate back to x; ).The work, Wi, required to lift the i" strip of This problem depends on the vertical coordinatesystem to the left.;thThe force, F;, on the ih strip of the chain =weight of the itn strip of the chain.„thFipoundsThe distance, di, we are moving the;thstrip isdifeet(Must relate back to xi ).The work, Wi, required to lift the iththe chain is Wistrip ofF; · di.Wift-lbsAdding up the work on all the subintervals andallowing n 0, where n represents thenumber ofsubintervals, gives the integral for total work,W, required to lift the chain to the top of thebuilding.WdxFinally, Wfoot-pounds

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Answered: A chain, with length h = 100 feet and…

A chain, with length h = 100 feet and weighing 3 pounds per foot, hangs over the side of a building. We are going to determine the work required to lift the chain to the top of the building.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter7: Work And Kinetic Energy

Section: Chapter Questions

Problem 84AP: A cart is pulled a distance D on a flat, horizontal surface by a constant farce F that acts at an...

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Question

A chain, with length h = 100 feet and weighing
3 pounds per foot, hangs over the side of a
building.
We are going to determine the work required to
lift the chain to the top of the building.
X = 0
Xi
di
x = h
This problem depends on the vertical coordinate
system to the left.
The force, F;, on the i" strip of the chain
;th
weight of the i" strip of the chain.
;th
Fi
pounds
th
The distance, di, we are moving the i" strip is
di
feet
(Must relate back to x; ).
The work, Wi, required to lift the i" strip of

This problem depends on the vertical coordinate
system to the left.
;th
The force, F;, on the ih strip of the chain =
weight of the itn strip of the chain.
„th
Fi
pounds
The distance, di, we are moving the
;th
strip is
di
feet
(Must relate back to xi ).
The work, Wi, required to lift the ith
the chain is Wi
strip of
F; · di.
Wi
ft-lbs
Adding up the work on all the subintervals and
allowing n 0, where n represents the
number of
subintervals, gives the integral for total work,
W, required to lift the chain to the top of the
building.
W
dx
Finally, W
foot-pounds

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