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

The radius of gyration of a body about an axis passing through its cen

1.	The radius of gyration of a body about an axis passing through its centre of mass is 24cm. Calculate the radius of gyration of the body about a parallel axis passing through a point at a distance of 7cm from its centre of mass.
Answer» Solution :`K_(1)=24CM`, `r=7cm ` `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(625)=25cm`