Work problem pulling chain up a wall?

In summary, the work done in lifting the lower end of the chain to the ceiling is equal to 120 ft-lb. This can be calculated by taking the integral from 0 to 10 of 2.4x and then evaluating it to get 1.2x^2 from 0 to 10. However, it should be noted that this only applies to half the distance, not the entire 10 feet as initially thought.
  • #1
apiwowar
96
0
A 10-ft chain weighs 24 lb and hangs from a ceiling. Find the work done in lifting the lower end of the chain to the ceiling so that it is level with the upper end.

since you just take a little piece and add them up through an integral

wouldnt it be the integral from 0 to 10 of 2.4x

then to evaluate it you would get 1.2x^2 from o to 10

and get 120 ft-lb as your answer?

is that right or did i mess up somewhere?
 
Physics news on Phys.org
  • #2
disregard this question. i read the question more carefully and figured out that it is only half the distance not the whole 10 feet
 

Related to Work problem pulling chain up a wall?

Question 1:

What is the work problem of pulling a chain up a wall?

The work problem is the amount of energy required to lift the chain against the force of gravity and overcome any frictional forces that may be present.

Question 2:

What factors affect the work problem of pulling a chain up a wall?

The factors that affect the work problem include the weight of the chain, the height of the wall, the angle at which the chain is pulled, and the coefficient of friction between the chain and the wall.

Question 3:

How can the work problem of pulling a chain up a wall be calculated?

The work problem can be calculated using the formula W = Fd, where W is the work done, F is the force applied to the chain, and d is the distance the chain is lifted.

Question 4:

What is the relationship between work problem and the distance the chain is lifted?

The work problem is directly proportional to the distance the chain is lifted. This means that the greater the distance the chain is lifted, the greater the work problem will be.

Question 5:

How can the work problem of pulling a chain up a wall be reduced?

The work problem can be reduced by decreasing the weight of the chain, lowering the height of the wall, pulling the chain at a more favorable angle, and reducing the friction between the chain and the wall.

Similar threads

  • Introductory Physics Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Calculus and Beyond Homework Help
Replies
11
Views
1K
  • Calculus and Beyond Homework Help
Replies
1
Views
2K
  • Calculus and Beyond Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
3K
  • Calculus and Beyond Homework Help
Replies
1
Views
4K
Replies
7
Views
2K
  • Calculus and Beyond Homework Help
Replies
2
Views
1K
  • Calculus and Beyond Homework Help
Replies
1
Views
2K
Back
Top