The radius of gyration of a uniform disc about a line perpendicular to the disc equals its radius. Find the distance of the line from the centre.
Given that –
According to the question the radius of gyration of the disc about a point is equal to the radius of disc.
This gives moment of inertia as –
Let us take a line parallel to this axis and at a distance d.
Then the radius of gyration becomes r
So, the moment of inertia can be calculated as –
We know, moment of inertia is given by,
Substituting