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Vertical loop

  1. Sep 16, 2005 #1
    A stone with mass 2,0kg is tied to a rope with radius 1 meter to the circle center, and has the velocity 4 m/s.

    a) What's the tension on the rope on the top point of the circle?

    b) What's the tension on the rope on the bottom point of the circle?


    Here's my attempt to solve these.

    a) Fc = mv^2/r Fg= mg Ft= the force applied on the rope

    Fc=Ft + Fg
    Ft=Fc - Fg
    Ft=mv^2/r - mg
    Ft=2*4^2/1 - 2*9,8
    Ft=12,4 N

    b)
    Fc=Ft - Fg
    Ft=Fc + Fg
    Ft=mv^2/r + mg
    Ft=2*4^2/1 + 2*9,8
    Ft=51,6 N

    Can anyone please verify that this is correct?
     
  2. jcsd
  3. Sep 16, 2005 #2

    Doc Al

    User Avatar

    Staff: Mentor

    Both of your solutions are correct.
     
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