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Moment of inertia

  1. Nov 21, 2015 #1
    1. The problem statementα, all variables and given/known data

    The moment of inertia of a Rod over an
    Axis XX' passing through the center of mass of the Rod at an angle α is-

    2. Relevant equations
    Moment of Inertia of Rod about the end, I =ML2/3

    3. The attempt at a solution
    I=ML2/3
    Answer of the question is ML2/3sin2α

    I didn't understood how sin2 came because even if we shift OL over the axis XX' then

    OX=OLcosα

     

    Attached Files:

  2. jcsd
  3. Nov 21, 2015 #2

    Doc Al

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    Staff: Mentor

    Hint: Set up an integral.
     
  4. Nov 21, 2015 #3

    haruspex

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    The distance along the axis, OX, does not affect moments about the axis. The distance of interest is from the XX' axis to the points on the rod.
     
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