Q. 14

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

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