Calculus 2: Applications - Calculating Work (4 of 16) Calculating Work Example 3: Chain

In this video I will calculate W=? pulling a 20m spring up a building.

Next video in the series can be seen at:

[piotrekjazz]

When you verify also 1/2 of mass should be taken, the rest moves in horizontal direction :) That's a good exercise

[basirmiah]

For your displacement expression, you wrote "x". But why not write "(20 - x)" for the displacement undergone by the differential mass element? There are some problems were the displacement expression is just "x" and others were the expression is "an amount of length - x" .

[sweg]

How do we calculate the work to lift only half of the rope?

[matricmasterclass]

Hi Michel, how did you know that the chain was 10m from the top of the roof? Was it just an assumption?

[diyaael-shorbagy]

i wish u reply my question sir: well, to determine the location of the centroid of a body we balance the moments of the particles and the total weight of the body around each axis we the principle of moments to do so
now what is the principle u sir used to say that the potential E gained by each particle equals the p.E of the centroid of the total body
why is that true ?!

[ahmedal-ebrashy]

Why you dont use dx? You integrate dmgx shuldnt it be dmgdx? And do a double integral?

[cyrusdotillos]

Sir is it necessary to half the distance which is 20 meters