Tension on a rope from jumping tightwalker

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    Rope Tension
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Homework Help Overview

The problem involves a tightrope walker who jumps while standing on a rope, with the goal of determining the tension in the rope during the jump. The subject area relates to dynamics and forces, particularly focusing on the effects of acceleration and gravity on tension in a rope system.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the forces acting on the tightrope walker during the jump, including the effects of upward acceleration and gravitational force. There is a debate about whether the force exerted by the tightrope walker decreases or increases the tension in the rope.

Discussion Status

Some participants have offered hints and clarifications regarding the interpretation of the forces involved. There is an acknowledgment of differing views on how the tightrope walker’s actions affect the tension, with some suggesting that the jump increases the tension rather than slackening it. The conversation reflects an ongoing exploration of the problem without a clear consensus.

Contextual Notes

Participants are working within the constraints of the problem's parameters, including the mass of the tightrope walker and the given acceleration. There is an emphasis on understanding the forces at play rather than arriving at a definitive solution.

fanman791
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A 65.0 kg tightrope walker stands at the center of a rope. The rope supports are 10 m apart and the rope sags 10.0^\circ at each end. The tightrope walker crouches down, then leaps straight up with an acceleration of 7.70 {\rm m}/{\rm s}^{2} to catch a passing trapeze. What is the tension in the rope as he jumps?

F=ma
Forces, basically.

So, based on the information, I think it's correct to assume because of the tightwalker jumping upwards then the Force from the tightwalker is slackened to 9.8(gravity) - 7.70(acceleration upwards).
From there: F=Fysin([tex]\theta[/tex])+Fysin([tex]\theta[/tex]) - ma (from the tightwalker) = 0

I plug it in and get 180.71 and it's not the correct answer. I'm doing something wrong here.
 
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"because of the tightwalker jumping upwards then the Force from the tightwalker is slackened"

They want the tension as he jumps, before he leaves the rope.
Hint: The tightrope walker pushes down to jump up, putting more tension on the rope.
 
Maybe I am wrong, but I think the 7.7 m/s^2 that is given is the absolute acceleration of the person. So, the acceleration and mass are both given, which makes it a simple calculation. Using those numbers do you get the correct answer?
 
ty Imperitor i got it

it doesn't slacken as he jumps - it adds more force to the equation
therefore, it = ma(jumper) + m(7.7)(jumper adding force)

and if i plug those in it yields the correct answer :D
 

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