Parallel Axis Theorem

Parallel Axis Theorem

Statement : Moment of inertia about any axis is equal to sum of moment of inertia about central axis and  square of perpendicular distance between both the axis.

I₀ = Mh² + I_c

Fig A

Consider a rigid body of mass M in figure A, Let the body rotates about axis passing through point O. Consider a point of mass dm at point P whose moment of inertia is to be calculated about axis  passing through point P.

Mathematically,

│<<<Application of Moment of inertia││Perpendicular Axis Theorem>>>│

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