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Homework Statement
What must the ratio of height to radius of a cylinder be so that every axis
is a principal axis (with the CM as the origin)?
Homework Equations
Moment of inertia tensor.
I need I_yy = [itex]\sum m *(x^2 + z^2)[/itex]
The Attempt at a Solution
I calculated I_zz = MR^2 /12 . Now I change the principal axis to yaxis. I need to determine the moment of inertia tensor of it. Polar coordinates won't work. If I go for cartesian, I do not know the limits for the dx.
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