Tension on a rope from jumping tightwalker

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The discussion centers around calculating the tension in a rope when a tightrope walker jumps. The walker, weighing 65.0 kg, accelerates upwards at 7.70 m/s², which affects the tension in the rope. Initially, there was confusion about whether the force from the jumper slackens the rope, but it was clarified that the jump actually increases the tension. The correct approach involves adding the jumper's weight and the additional force from the upward acceleration to find the total tension. Ultimately, the participants confirmed that using the mass and acceleration yields the correct tension value.
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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(\theta)+Fysin(\theta) - 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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