Question

State and prove theorem of perpendicular axis for moment of inertia

Answer 1

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Perpendicular Axis Theorem. For a planar object, the moment of inertia about an axis perpendicular to the plane is the sum of the moments of inertia of two perpendicular axesthrough the same point in the plane of the object. The utility of this theoremgoes beyond that of calculating moments of strictly planar objects

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Answer 2

1. Answer:  Explanation:it states that moment of inertia of planner body about an axis perpendicular to plane is sum of m. I. Of two perpendicular axis lying on plane of body Iz=Ix+ Iy Ix=miyi^2 Iy=mixi^2 Ix+Iy=mi(yi^2+xi^2) =mizi^2=Iz