The radius of gyration of a body about an axis at a distance of 12 cm from its centre of mass is 13 cm. Find its radius of gyration about a parallel axis through its centre of mass.

The radius of gyration of a body about an axis at a distance of 12 cm

1.	The radius of gyration of a body about an axis at a distance of 12 cm from its centre of mass is 13 cm. Find its radius of gyration about a parallel axis through its centre of mass.
Answer» SOLUTION :By PARALLEL axes theorem, `M(13)^(2)=I_(0)+M(12)^(2)` `I_(0)=M(13^(2)-12^(2))=M(25)` Its radius of gyration about a parallel AXIS through its centre of mass `K = sqrt((I_(0))/(M))=sqrt(25) = 5cm`