1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Finding Centripetal acceleration in a vertical system

  1. Nov 14, 2015 #1
    1. The problem statement, all variables and given/known data
    Tarzan plans to cross a gorge by swinging in an arc from a hanging vine. If his arms are capable of exerting 1350 N on the vine, what is his acceleration at the point where the vine makes an angle of 45 degrees from the vertical assuming maximum speed at this point. His mass is 78 kg and the vine is 5.2 m long.


    2. Relevant equations
    Maybe I plugged in some of the numbers wrong and if I did, did I at least tackle the problem correctly?

    3. The attempt at a solution
    I feel like I am missing something when I go through this but what I did was:
    Tension would have to be 1350 right so
    x direction: Fcx=Tsin(45) => 954.6N=Fcx
    y direction: Fcy=Tcos(45)+Fg => 954.6 N - 764.4 N = 190.2 N = Fcy

    (Fcx^2+Fcy^2)^0.5 = Fc = 973.4 N

    973.4 N / 78 kg = 12.5 m/s/s inward
     
  2. jcsd
  3. Nov 15, 2015 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    It looks correct.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Finding Centripetal acceleration in a vertical system
Loading...