How Do You Calculate the Upward Force on a Uniform Rope Being Lifted?

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Homework Help Overview

The discussion revolves around calculating the upward force required to lift a uniform rope at a constant speed. The problem involves understanding the dynamics of a rope with a specified mass per unit length and the forces acting on it as it is lifted to a certain height.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to identify the forces acting on the rope and consider the use of equations related to power and work. There is uncertainty about the correct approach and the relevance of center of mass calculations.

Discussion Status

Some participants have offered equations that might be relevant to the problem, while others suggest drawing a free body diagram to clarify the forces involved. The original poster expresses confusion about how to start and whether they are on the right track.

Contextual Notes

The problem specifies a scenario where the rope is lifted at a constant speed, which may imply certain assumptions about the forces acting on it. There is also a specific height mentioned for the calculation, which may affect the interpretation of the forces involved.

ajmCane22
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Homework Statement


A long, uniform rope with a mass of 0.100 kg per meter lies on the ground. You grab one end of the rope and lift it at the constant rate of 1.20 m/s.


Homework Equations


Center of mass?
[SIGMA]mx/M


The Attempt at a Solution


I honestly have no idea where to even begin. There is no example like this in the book, and my professor didn't give any example like this. I thought maybe I would need to (m1x1 + m2x2 + ...)/(m1 + m2 + ...), but then the upward force part is really confusing me.

Am I even on the right track? Help is greatly appreciated.
 
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Are you trying to find the force needed to do that?
Well, P = W/t = (Fd)/t = Fv
Is probably a useful equation but I don't know what the question is?
 
I forgot the question part, sorry!

"Calculate the upward force you must exert at the moment when the top end of the rope is 0.560 m above the ground."
 
ajmCane22 said:
I forgot the question part, sorry!

"Calculate the upward force you must exert at the moment when the top end of the rope is 0.560 m above the ground."
Draw a free body diagram of the 0.560 m rope and identify the forces acting on it, both known and unknown, and solve for the unknown upward force using Newton's law for objects moving at constant speed.
 

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