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Top and bottom of a swinging object

  1. Nov 17, 2009 #1
    1. The problem statement, all variables and given/known data

    In a vertical circle with non uniform speed, why we always say that the tension at the bottom is a maximum and the tension at the top is minimum?
    Is there any mathematical method to prove it? I don't understand why we always assume in this way.


    3. The attempt at a solution

    could it because of energy?
     
  2. jcsd
  3. Nov 17, 2009 #2

    Delphi51

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    At the bottom the tension provides the centripetal force as usual but also must balance the gravitational force which is at that point entirely in the opposite direction to the tension force.
     
  4. Nov 17, 2009 #3
    so could we say the tension is zero since both of the gravitational force and tension are in the same direction?
     
  5. Nov 17, 2009 #4

    Delphi51

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    At the bottom of the swing tension is up, gravity down.
    At the top, it could happen that they cancel out of the speed is just right.
     
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