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Moment of Inertia - Hollow Objects

  1. May 7, 2009 #1
    1. The problem statement, all variables and given/known data

    1. Given that the moment of inertia of a thin conical shell, of base radius a and height 3a, about
    an axis through its apex perpendicular to its symemtry axis is 19
    4 ma2, and that the centre of
    mass of the shell is along its symmetry axis a distance a from the base and 2a from the apex,
    find the moment of inertial of the conical shell about an axis which passes through its centre
    of mass and is perpendicular to its symmetry axis.
    2. A partially hollowed out thick uniform spherical shell, of mass m and outer radius a, has
    moment of inertia 23
    15 ma2 about a tangent. What is the moment of inertia of the shell about a
    diameter, given that its centre of mass is at the centre of the shell?


    2. Relevant equations

    I = Sigma m (r^2)



    3. The attempt at a solution

    Lots on paper



    Thanks tons, again this is for an exam tomorrow
     
  2. jcsd
  3. May 8, 2009 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Welcome to PF!

    Hi JerS! Welcome to PF! :smile:

    (try using the X2 tag just above the Reply box :wink:)

    Hint: use the parallel axis theorem …

    what do you get? :smile:
     
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