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Uniform cylinder, moment of inertia by translation of axis.

A uniform cylinder, has mass 18 kg and radius .5 m. Its moment of inertia about an axis which is .3 m from the center of mass axis, is 3.87 kg m^2. Each axis is perpendicular to the circular face of the cylinder.
Find the moment of inertia about an axis at the surface of the cylinder.

Solution Preview

Step 1.
The moment of inertia of a uniform cylinder of mass M and radius R, about an axis through its center of mass (c.m.) and perpendicular to its face is:
(1) Io = .5 M R^2
Step 2.
The "translation of ...