Is radius of gyration of a body have constant quantity?
Hello,
Radius of gyration of a body is defined about its axis of rotation. If we change the axis of rotation of the object, then its radius of gyration also changes.
For example:-
1) The moment of inertia of a ring about an axis passing through its center of mass and perpendicular to plane of ring is given by, I = MR2
Where, M = mass of the ring, R = radius of the ring
So, the radius of gyration 'K' can be found as,
MR2 = MK2
=> R = K
2) The moment of inertia of a ring about its diameter is given by,
I = (1/2) MR2
So here the radius of gyration is,
MK2 = (1/2) MR2