1. Limited time only! Sign up for a free 30min personal 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!

Difficult Centripetal Motion Problem

  1. Nov 13, 2012 #1
    1. The problem statement, all variables and given/known data
    Tarzan swings from a vine 20 m long which makes an angle of 30° with the vertical. If he pushes off with a speed of 2 m/s, what is the tension in the vine at the lowest point of the swing? Tarzan has a mass of 80 kg.


    2. Relevant equations
    centripetal accelaration force = F
    m = mass
    r = radius of circle
    v = tangential speed
    F=m(v^2)/r

    1/2mv^2 + mgh = 1/2mv^2 (I'm not sure about this, though)

    3. The attempt at a solution
    F = 80 (2^2)/ 20
    F = 16 N

    I don't know how to integrate the angle measure into the problem.
     
  2. jcsd
  3. Nov 13, 2012 #2

    Delphi51

    User Avatar
    Homework Helper

    The 1/2mv^2 + mgh = 1/2mv^2 looks good. Use it to find the velocity at the lowest point. Then use Fc=m(v^2)/r with that value for v. Another force will add to this to make the total tension.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Difficult Centripetal Motion Problem
Loading...