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The radius of gyration of a uniform disc...

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

Text Solution

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Radius of the disc = R
Radius of gyration = K
`I=I_(G)+Md^(2)`
`MK^(2)=(MR^(2))/(2).+Md^(2)rArr K^(2)=(R^(2))/(2)+d^(2)`
`R^(2)-(R^(2))/(2)+d^(2) " " [because K = R]`
`(R^(2))/(2)-d^(2) rArr` distance `d=(R )/(sqrt(2))`.
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