Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it.

A 10-ft chain weighs 25 lb and hangs from a ceiling. Find the work done in lifting the lower end of the chain to the ceiling so that it's level with the upper end.

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Yiming Zhang

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 4

Work

Missouri State University

Campbell University

University of Nottingham

Boston College

Lectures

01:59

Show how to approximate th…

01:52

07:45

04:47

01:25

$13-22$ Show how to approx…

01:02

Show how to approximate …

04:10

$13-20$ Show how to approx…

03:11

03:59

03:47

OK, so first we gonna get that. This is the road them likens to the mass over the length. So that's the, uh wait for with the wicker length, it's 15 and next we're gonna figure out the distance that's moved by a signal of the road. It's gonna tricky here because we haven't noticed that. Uh, see, this is over White ordinance. This is Theo X, and this is zero way zero. That's why ordinance, this is a total height at 10 feet, right? The rope only move for the lower parts of the world have isn't fine. So if you move that you move the road about five is the role. You're not move anyone here. So this is that the robot will travel for a piece of rope announcements or things like baroque. These two cases zero for why, No longer less than five. And Tim as to why, if y listen for so here we have our density we have over. This is the work equals to zero toe l. So this hour l the total length of the height which was to tear love no times worthy way, which is Deacon's to observe to five, 10 months to White Tim's Love, that boy and for what? Within 50 So finally, this equals two, since his 15 feet don't.

View More Answers From This Book

Find Another Textbook

01:08

In a row of 40 children facing North, Satish is eighth to theright of Ajay. …

02:32

A number has two digits. the digit at tens Place is four times the digit at …

01:00

(iv) Find the value of x, if 4x +3y =23, and y = 5.

02:03

*A tank contains 18,000 litres of water. If it decreases at the rate of 5% p…

Lalit got 50% marks in Hindi, 75% in English, and 90 marksin maths. The max…

02:55

Circle A has a diameter of 9 inches, a circumference of 28.26 inches, and an…

02:09

a dealer buys some pens from a wholesaler at the rate of rs.30 per pen and m…

01:48

Draw a line segment of length 7.6 cm and divide it in the ratio 5 : 8. Measu…

00:33

A fair spinner has 9 equal sections: 3 red, 4 blue and 2 green.It is spu…

04:13

5. A 50mm long line AB is parallel to both H.P and V.P. The line is 25mm in …