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Find Tension for Centripetal Motion

  1. Nov 25, 2007 #1
    [SOLVED] Find Tension for Centripetal Motion

    George of the Jungle swings on a vine 6.5 meters long. What is the tension in the vine if George, whose mass is 75 kg, is moving at 2.4 m/s when the the vine is vertical?

    I tried using the equation F = ma and a = v^2/r. I plugged the 2nd one into the first but it didn't come out with the right answer.

    F = (75)(2.4^2)/(6.5) = 66.46 N when the answer should actually be 801.46 N. I know gravity should go somewhere in there too but I'm not sure where. I tried multiplying 66.46 by 9.8 m/s^2 and ended up with 651.32. What am I doing wrong?
     
    Last edited: Nov 25, 2007
  2. jcsd
  3. Nov 25, 2007 #2

    hage567

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    Homework Helper

    There is tension in the rope and gravity. Draw a diagram if that helps. Both of these contribute to the centripetal force. Sum the forces up like you would any other force problem.
     
  4. Nov 25, 2007 #3
    Solved! Thanks a lot!
     
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