state and prove parallel axis Therom
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The distance between the two parallel axes is x. Let the body be divided into large number of particles each of mass m . For a particle P at a distance r from O, its moment of inertia about the axis X1OX1′ is equal to m r 2. ... Thus the parallel axes theorem is proved
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The theorem of parallel axis states that the moment of inertia of a body about an axis parallel to axis passing through centre of mass is equal to the sum of the moment of inertia of body about an axis passing through centre of mass and product of mass and square of distance between the two axes.
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