Problem 65 **

Screenshot 2020-07-07 at 20.43.30

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Tidied up:

A cone of base radius R, height H, mass M and homogeneous mass density is orientated as shown below.


The angle the cone makes to the xy plane is \alpha. The cone is then attached to an axis along its outer mantle in the direction of \hat {\mathbf u}. Calculate the moment of inertia of the cone, with respect to this axis.

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