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(6411 #7 p. 351) A 200 foot chain hangs over the edge of a tall building. The chain weighs 2.5 pounds per foot. There is a bucket of water at the end of the chain. Initially the bucket and water together weigh 800 pounds. As the bucket is lifted water leaks from the bucket at a rate of 3 pounds per foot. Setup, but do not evaluate, an integral that gives the work done in lifting the bucket the first 160 feet. The amount of work done is 137,600 foot-pounds

(6411 #7 p. 351) A 200 foot chain hangs over the edge of a tall building. The chain weighs 2.5 pounds per foot. There is a bucket of water at the end of the chain. Initially the bucket and water together weigh 800 pounds. As the bucket is lifted water leaks from the bucket at a rate of 3 pounds per foot. Setup, but do not evaluate, an integral that gives the work done in lifting the bucket the first 160 feet. The amount of work done is 137,600 foot-pounds

Advanced Engineering Mathematics
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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(6411 # 7 p. 351) A 200 foot chain hangs over the edge of a tall building. The chain weighs 2.5 pounds per foot. There is a bucket of water at the end of the chain. Initially the bucket and water together weigh 800 pounds. As the bucket is lifted water leaks from the bucket at a rate of 3 pounds per foot. Setup, but do not evaluate, an integral that gives the work done in lifting the bucket the first 160 feet. The amount of work done is 137,600 foot-pounds
Transcribed Image Text:(6411 # 7 p. 351) A 200 foot chain hangs over the edge of a tall building. The chain weighs 2.5 pounds per foot. There is a bucket of water at the end of the chain. Initially the bucket and water together weigh 800 pounds. As the bucket is lifted water leaks from the bucket at a rate of 3 pounds per foot. Setup, but do not evaluate, an integral that gives the work done in lifting the bucket the first 160 feet. The amount of work done is 137,600 foot-pounds
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