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Angular moment

  1. Sep 7, 2012 #1
    Hi everyone! Which is the formula and the proof of the projection of the angular momentum of a rigid body along the rotation axis?

    I searched on the web and on my mechanics book but cannot find anything... does somebody know this curiosity ?
     
  2. jcsd
  3. Sep 7, 2012 #2
    If I'm not mistaken, you're looking for a general formula for the angular momentum of a rigid body?

    Angular momentum (L) is given by:
    [itex]\displaystyle L=Iω[/itex]
    ω is angular velocity
    and the moment of inertia (I) of a rigid body is given by:
    [itex]\displaystyle I = \int^{m}_{0}r^{2}\delta m[/itex]
    m is the mass of the rigid body, and r is the radius from the axis of rotation

    So the angular momentum of a rigid body is:
    [itex]\displaystyle L = ω \int^{m}_{0}r^{2}\delta m[/itex]
     
  4. Sep 7, 2012 #3
    Thank you very much!
     
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