Calculate the radius of gyration of a uniform circular disk of radius r and thickness t about a line perpendicular tothe plane of this disk and tangent to the disk as shown in figure.
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Solution
We know that
MomentofInertia=Mass×RadiusofGyration
Since
Moment of Inertia of disc (With axis passing through COM) = 12MR2}
Radius of Gyration of disc = 12(0.5)R
Applying Parallel Axis Theory
K2=K2C+d2
here KC= Radius Of Gyration about axis passing through COM