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.

Answer :


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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