Define radius of gravitation. And state its physical significance.
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Solution
Radius of gyration or gyradius of a body about
an axis of rotation is defined as the radial distance of a point from the axis
of rotation at which, if whole mass of the body is assumed to be concentrated,
its moment of inertia about the given axis would be the same as with its actual
distribution of mass.
Radius of gyration or
gyradius refer to the distribution of the components of an object around an
axis. In terms of mass moment of inertia, it is the perpendicular distance from
the axis of rotation to a point mass (of mass, m) that gives an equivalent
inertia to the original object(s) (of mass, m).