A heavy rope, 60 ft long, weighs 0.7 Ib/ft and hangs over the edge of a building 130 ft high. (Let x be the distance in feet below the top of the building. Enter x,* as x,.) (a) How much work W is done in pulling the rope to the top of the building? Show how to approximate the required work by a Riemann sum. lim i = 1 Express the work as an integral. 60 dx Evaluate the integral. 1260 ft-lb
A heavy rope, 60 ft long, weighs 0.7 Ib/ft and hangs over the edge of a building 130 ft high. (Let x be the distance in feet below the top of the building. Enter x,* as x,.) (a) How much work W is done in pulling the rope to the top of the building? Show how to approximate the required work by a Riemann sum. lim i = 1 Express the work as an integral. 60 dx Evaluate the integral. 1260 ft-lb
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A heavy rope, 60 ft long, weighs 0.7 Ib/ft and hangs over the edge of a building 130 ft high. (Let x be the distance in feet below the top of the building. Enter x,* as x,.)
(a) How much work W is done in pulling the rope to the top of the building?
Show how to approximate the required work by a Riemann sum.
in
lim
Ax
i = 1
Express the work as an integral.
60
dx
Evaluate the integral.
1260
ft-lb
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