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A thin uniform bar, hanging, is hit by a ball. Find the angular velocity

  1. Dec 4, 2012 #1
    1. The problem statement, all variables and given/known data
    A thin, uniform metal bar, 3m long and weighing 75N, is hanging veritcally from the ceiling by a frictionless pivot. Suddenly it is struck 1.3m below the ceiling by a small 2 kg clay ball, initially travelling horizontally at 14m/s. The ball sticks to the bar

    Find the angular velocity of the ball+bar just after the collision.


    2. Relevant equations
    3. The attempt at a solution

    Angular momentum is conserved so my understanding is that

    Angular momentum of the ball = angular momentum of the bar and bar

    Lball = (Ibar + Iball2

    (2kg)(14m/s)(1.3m) = [(1/3)(75N/9.8m/s2)(3m)2 + (2kg)(1.3m)22

    so i worked it out and got ω = 1.18 rad/s

    but thats not correct...I cant think of any other way to approach it
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Dec 5, 2012 #2

    ehild

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    Gold Member

    Are you sure that the last formula is correct?

    ehild
     
  4. Dec 5, 2012 #3
    Wow..its definately not squared..thanks:P

    Found the answer..1.38rad/s!!
     
  5. Dec 5, 2012 #4

    ehild

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    Homework Helper
    Gold Member

    Well done !:smile:
     
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