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Rotational dynamics, semicircular arc

  1. Jan 15, 2013 #1
    1. The problem statement, all variables and given/known data
    (see attachment)


    2. Relevant equations



    3. The attempt at a solution
    Do I need to take torque about C here?

    Any help is appreciated, Thanks!
     

    Attached Files:

  2. jcsd
  3. Jan 15, 2013 #2

    Simon Bridge

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    How else would you find the angular acceleration?
     
  4. Jan 15, 2013 #3
    I asked this because I am sure this would involve integrals and before doing the maths, I want to be sure if I am heading in the right direction. :smile:
     
  5. Jan 15, 2013 #4

    Simon Bridge

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    If you can only think of one way to do a problem, it is worth a try: give it a go.
    Everything involves an integral if you don't already know the result.

    But it can help to have a think about the problem before starting:
    * If ##\beta=0##, what is the initial angular acceleration?
    * How does the total mass vary with ##\beta##?
    * How does the location of the center of mass vary with ##\beta##?
     
  6. Jan 15, 2013 #5
    I have solved the problem, I had trouble because I misinterpreted the problem. It looked to me like a semicircular arc but it isn't. Thanks! :smile:
     
  7. Jan 15, 2013 #6

    haruspex

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    Yes, it's a poor drawing. The point where those angles meet doesn't look like it's supposed to be the centre of the arc.
     
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