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.

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 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.
Answer» Solution :`K_(1)=24 cm, r = 7 cm` `I=I_(G)+Mr^(2) "" I_(G)=MK_(1)^(2), I=MK^(2)` `therefore MK^(2)= MK_(1)^(2)+Mr^(2)` `K^(2)=K_(1)^(2)+r^(2)=(24)^(2)+(7)^(2)=576+49=625` `therefore` RADIUS of gyration ` K = sqrt(625)=25 cm`