Tuesday, November 18, 2014

rotational dynamics - What is the moment of inertia of a cylinder about a skew axis?



Suppose that there is a cylinder of uniform density with radius $ r $ , height $ h $ and mass $M$.


An axis $ \ell $ is chosen through its geometric center making an angle $ \theta $ with the horizontal.


What is the cylinder's moment of inertia about $\ell$?



Is it possible to do this by using the rotation of axes formulae?




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