The radius of gyration of a body about an axis passing through its centre of mass is 24 cm. Calculate the radius of gyration of the body about a parallel axis passing through a point at a distance of 7 cm from its center of mass.

Explanation

`K_(1)=24 cm r=7 cm`
`I=I_(G)+Mr^(2)_, I_(G) =MK_(1)^(2) , I= MK^(2)`
`:.MK^(2)=MK_(1)^(2)+Mr^(2)`
`K^(2)+K_(1)^(2)+r^(2)=(24)^(2)+(7)^(2)=576+49=625`
`K^(2)=625`
`:.` radius of gyration `K= sqrt(6250=25 cm`