The radius of gyration of a uniform disc about a line perpendicular to the disc is equal to its radius. Find the distance of the line from the centre of the disc.

The radius of gyration of a uniform disc about a line perpendicular to

1.	The radius of gyration of a uniform disc about a line perpendicular to the disc is equal to its radius. Find the distance of the line from the centre of the disc.
Answer» Solution :RADIUS of the DISC `=R` Radius of gyration `=K` `I=I_(G )+Md^(2)` `MK^(2)=(MR^(2))/(2)+Md^(2)impliesK^(2)=(R^(2))/(2)+d^(2)` `R^(2)=(R^(2))/(2)+d^(2)` [`:.K=R]` `(R^(2))/(2)=d^(2)implies` DISTANCE `d=(R )/(SQRT(2))`