Tension in a hanging massive rope

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    Rope Tension
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Homework Help Overview

The discussion revolves around understanding the forces acting on a hanging massive rope, specifically focusing on the tension at a certain point in the rope and the force exerted by the ceiling.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster seeks to determine both the direction and magnitude of the force from the ceiling and the tension at a specific point in the rope. Some participants discuss the weight distribution along the rope and how it relates to tension calculations.

Discussion Status

Participants are exploring different aspects of the problem, with some providing mathematical expressions related to the weight of the rope and its impact on tension. There is an acknowledgment of contributions, but no consensus has been reached on the overall approach.

Contextual Notes

Assumptions regarding the uniformity of the rope and the distribution of weight are being discussed, but specific details on the setup or additional constraints are not provided.

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How do I find the direction and magnitude of the force exerted on the massive rope by the ceiling? And what is the tension at point P in the rope? Thanks in advance,
 
Last edited:
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Let W=the weight of the rope.
So the weight of the rope below point p will be (W/l)*y.
The upper part will be just (W/l)*(l-y). This will be the tension at P.
 
Thank you so much, CartooKid. You're the man. :smile:
 
Last edited:
Yes. For the whole rope, it would be lzg which is same as Mg.
 

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