The difference between Centre of inertia and Centre of mass
When used as nouns, centre of inertia means the centre of mass, whereas centre of mass means a point, near, or within a body at which the object's mass can be assumed to be concentrated.
check bellow for the other definitions of Centre of inertia and Centre of mass
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Centre of inertia as a noun (rare, dated):
The centre of mass.
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Centre of inertia as a noun (rare, rotational dynamics):
A point, near or within a body, at which the body's mass can be assumed to be concentrated when considering its rotational motion and moment of inertia. This may be different from its centre of mass which is the equivalent for linear motion.
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Centre of mass as a noun (mathematics, physics):
A point, near, or within a body at which the object's mass can be assumed to be concentrated; it coincides with the centroid for a body of uniform density, and with the centre of gravity in a uniform gravitational field.