No, that is not correct. The correct answer is F_t(y) = [m(gL - gy)]/L.

  • Thread starter Thread starter ahhgidaa
  • Start date Start date
  • Tags Tags
    Tension
Click For Summary

Homework Help Overview

The problem involves determining the tension in a uniform rope of length L and mass m that is hung vertically, specifically at a distance y from the bottom of the rope.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the formula for tension and question the correctness of the original poster's answer, particularly focusing on unit consistency and specific cases such as when y equals L.

Discussion Status

There is an ongoing examination of the original answer, with some participants providing alternative expressions for tension and questioning the reasoning behind the calculations. The discussion reflects a mix of agreement and disagreement on the interpretations presented.

Contextual Notes

Participants are exploring the implications of different values of y and the physical meaning behind the equations, as well as addressing potential errors in the original formulation.

ahhgidaa
Messages
11
Reaction score
0
a uniform rope of length L and mass m is hung vertically. what is the tension a distance y from the bottom?

my final anwer that i got was F_t(y)= [m(L-y)*g]

is this correct?
 
Physics news on Phys.org
No.

For one thing, the units are different on the left side of the equation vs. the right side.

How did you get your answer?

What does the answer you posted say in the case that y = L ?
 
force of tension a distance y from the bottom = m [(L-y)/L]*g
tension = mgh

mass per unit length times gravity
 
ahhgidaa said:
force of tension a distance y from the bottom = m [(L-y)/L]*g
tension = mgh

mass per unit length times gravity

yup! :smile:
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
3K
Replies
13
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 19 ·
Replies
19
Views
3K
  • · Replies 17 ·
Replies
17
Views
1K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
1
Views
4K