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The mass of the ball is m, and the length of the string is L

  1. Jan 16, 2012 #1
    1. The problem statement, all variables and given/known data

    A man plays a Yo-Yo ball as shown in the figure. The mass of the ball is m, and the length of the string is L. The ball moves in a circle along a vertical plane. What is the difference of the string tension at the lowest point ([itex](T_{2})[/itex]) and the highest point ([itex](T_{1})[/itex])
    yo yo.jpg

    3. The attempt at a solution

    ([itex]\frac{mv^{2}}r=T_1+mg=T_2-mg[/itex])
    [itex]\Rightarrow T_2-T_1=2mg[/itex]
    But the answer is 6mg, I guess the problem is that v is not equal at the two different positions. In this case, I don't know how to solve it.
     
  2. jcsd
  3. Jan 16, 2012 #2
    Re: tension

    Your guess is correct.
    Try to use conservation of energy to relate the top speed with the bottom speed.
     
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