Finding the Weight of a Rope and Bucket

  • Thread starter Thread starter glennpagano
  • Start date Start date
  • Tags Tags
    Rope Weight
glennpagano
Messages
17
Reaction score
0

Homework Statement



A rope is 5 meters long and hangs over the edge of a well. It has a bucket of water weighted 20 kilograms attached to one end. For Simplicity, use g=10N/kg

Suppose the rope has a uniform density of \rho = 1kg/m

Homework Equations



W=\int F(x)xdx


The Attempt at a Solution



I could not figure out what the force would be I would think it would be (Mrope+Mbucket)g
Mass of the rope would be (\rho)(v)=Mrope
 
Physics news on Phys.org
Welcome to PF!

Welcome to PF! :smile:

(have a rho: ρ and an integral: ∫ :wink:)

Does the question ask for the work done in raising the bucket 5 m ?

If so, remember that the rope doesn't rise 5 m … it stops as it gets to the top.

Use work done = change in PE. :wink:
 
I know I can do change in PE but this is for my calculus and my teacher wants me to use calculus I did some more work and found this so far. F(y)=(Mrope+Mbucket) Mrope=\rhov. Now I have to find change in y for that I got (5-y) Now my equation for work is the integral from 0 to 5 of (\rhoy+20)(5-y)
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Calculating Tension in a Suspended Rope with a 50kg Weight
Replies
2
Views
2K
Calc II word problem(work needed to lift a leaky bucket)
Replies
6
Views
15K
What Torque Is Required to Raise a Water Bucket from a Well?
Replies
5
Views
2K
Finding the Mass of a Hanging Rope (Wave Problem)
Replies
4
Views
2K
How much work is done on a bucket when pulling it up?
Replies
3
Views
2K
Two masses connected by a weighted rope pulled vertically
Replies
5
Views
5K
Tension in a rope hanging between two trees
Replies
7
Views
9K
Fundamental frequency change because of bouyant force
Replies
11
Views
2K
What is the weight of a bucketful of water?
Replies
5
Views
5K
Rope hanging from a table, find time taken to fall off table
Replies
12
Views
5K

Hot Threads

Recent Insights

Back
Top