What is the Minimum Breaking Tension of Tarzan’s Vine Rope?

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To determine the minimum breaking tension of Tarzan's vine rope, the forces acting on him during the swing must be analyzed. Tarzan's weight is calculated to be 833 N, and the tension in the rope must account for both the gravitational force and the centripetal force required for swinging. The equation T = mv^2/r + 833 is used, where T represents tension, m is mass, v is velocity, and r is the radius of the swing. To find the velocity at the lowest point of the swing, conservation of energy principles can be applied, considering the height from which Tarzan starts. Ultimately, calculating these values will yield the minimum breaking tension needed to ensure a safe swing across the river.
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Homework Statement



Tarzan wishes to swing across a crocodile infested river to consort with Jane, using a vine rope to swing on. In order to reach Jane's side he must swing so that the rope makes a maximum angle of 40 degrees to the vertical. Regarding Tarzan as an 85 kg point mass, what is the minimum breaking tension of the rope if the crocodiles are to be disappointed and Jane delighted?

(assume the rope is light and Jane loves Tarzan)

Homework Equations



Fg = mg (833 N)
Fc = T - Fg

The Attempt at a Solution



Don't know where to start..it's a bonus question for our test
Thanks!
 
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An attempt at the question:

Fg is a constant 833 N on Tarzan.

Because Fc = T - Fg

T = Fc + Fg
= mv^2/r + 833
= 85v^2/r + 833

Sort of stuck there...
 
Last edited:
Use conservation of energy to find v at the bottom of the swing. How high is tarzan above this point at the start of the swing?
 
That dosen't help me :(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(
 

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