Tarzan swinging across a river

  • Thread starter rpullo
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In summary, Tarzan needs to swing at a maximum angle of 40 degrees to reach Jane's side. He is an 85 kg point mass and the minimum breaking tension of the rope should be 85v^2/r + 833 N. To solve for v at the bottom of the swing, use conservation of energy and consider the height of Tarzan at the start of the swing.
  • #1
rpullo
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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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  • #2
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:
  • #3
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?
 
  • #4
That dosen't help me :(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(
 

1. How can Tarzan swing across a river?

Tarzan is able to swing across a river by using vines or ropes that are attached to trees on either side of the river. He uses his strong arms and legs to propel himself forward and let go at the right moment to reach the other side.

2. Is it physically possible for a human to swing across a river like Tarzan?

While it may be possible for a skilled and physically fit individual to swing across a smaller river, it is not possible to do so like Tarzan in the movies. The stunts performed by actors are often exaggerated and not reflective of what is physically possible.

3. How does Tarzan maintain his grip on the vine while swinging across a river?

Tarzan's ability to maintain his grip on the vine while swinging across a river is due to his strong hands and arms. He also uses his body weight and momentum to keep a firm hold on the vine.

4. Can Tarzan swing across any type of river?

Tarzan is able to swing across most rivers, as long as there are trees or other structures along the riverbanks that he can attach his vine or rope to. However, swinging across a very wide or fast-moving river may be more challenging for him.

5. Is swinging across a river a safe method of transportation?

Swinging across a river like Tarzan is not a safe or practical method of transportation. It is always recommended to use a bridge or other safe means of crossing a river. Additionally, swinging across a river can be dangerous and should not be attempted without proper safety precautions and training.

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