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Save Tarzan and Make sure his Vine doesnt break(HELP NEEDED)!

  1. Dec 5, 2004 #1
    Tarzan, who weighs 634 N, swings from a cliff at the end of a convenient vine that is 13 m long . From the top of the cliff to the bottom of the swing, he descends by 1.4 m. The vine will break if the force on it exceeds 1220 N. What would the greatest force on the vine be during the swing?

    What is the proper stategy for solving this. Such as, "do i need to find a force first or a velocity or an angle" etc. I am not sure how to go about doing this .
     
  2. jcsd
  3. Dec 6, 2004 #2

    Galileo

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    When Tarzan jumps, he will swing along a circular arc.
    The centripetal acceleration is supplied by the tension in the vine.
    [tex]F_{cent}=\frac{mv^2}{R}[/tex]
    So it is greatest when Tarzan has the greatest speed. When is that?
     
  4. Dec 7, 2004 #3
    The rope must also overcome the force of gravity acting on Tarzan when he is at the bottom of the arc.

    Thusly, the tension of the rope = Fcent + Fgrav at this point.
     
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