0 like 0 dislike
0 like 0 dislike
Why do we use an integral for the heavier chain in this problem?

2 Answers

0 like 0 dislike
0 like 0 dislike
You're right, it's not getting any lighter. It's getting heavier. At least as far as the lighter cable is concerned. The start even at the bottom, so you're not actually lifting any of the heavier chain until you get started, and more of it is being pulled up past the bottom/middle point.
0 like 0 dislike
0 like 0 dislike
imagine the heavier chain was on the ground. you use a motor to lift the chain. the motor lifts the first link, now in order to lift the second link it has to also lift the first link. so the motor has to work harder and harder the more chain it draws up.

Related questions

0 like 0 dislike
0 like 0 dislike
3 answers
BlaiseJames asked Jun 21
#53. In the second part after "So, let delta = epsilon" how do they go from |-(x+5)|<E to |-(x-5)-10|<E? In the first part is there a name for the rule/property used to f...
BlaiseJames asked Jun 21
0 like 0 dislike
0 like 0 dislike
7 answers
Lightstream asked Jun 21
Suppose there's an ant which can do only two things: advance 1 unit forward and rotate 2π/n. For which integer values of n can this ant get arbitrarily close to any poin...
Lightstream asked Jun 21
0 like 0 dislike
0 like 0 dislike
0 answers
MorganHoover_ asked Jun 21
"Previous comparison of change in CAPS score between sertraline and placebo showed effect sizes of 0.31 and 0.37 (ref. 16). Similarly, comparison of change in CAPS score ...
MorganHoover_ asked Jun 21
0 like 0 dislike
0 like 0 dislike
4 answers
majolica_tweets asked Jun 21
Where do I go next in the ASA path
majolica_tweets asked Jun 21
0 like 0 dislike
0 like 0 dislike
4 answers
TommyBanks8 asked Jun 21
Recently i started Problems in Mathematical Analysis 1: Real Numbers, Sequences and Series by Kaczor Nowak. Its problems are very tough. So i need some books which have a...
TommyBanks8 asked Jun 21

24.8k questions

103k answers

0 comments

33.7k users

OhhAskMe is a math solving hub where high school and university students ask and answer loads of math questions, discuss the latest in math, and share their knowledge. It’s 100% free!