state prove the pereallel axis the Orem and perpendicular axis theorem
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Statement of parallel axes theorem. Statement of perpendicular axes theorem. Explanation of parallel axes and perpendicular axes theorem. Detailed Answer : Theorem of parallel axes : It states that the moment of inertia of a body about an axis is equal to the sum of moments of inertia of the body about a parallel axes passing through its centre of mass and the product of mass and the square of distance between two parallel axes. M = mass of the lamina h = distance between two parallel axes For eg. Moment of inertia of disc about an axis perpendicular to the plane of disc and through its centre Then, moment of inertia about an axis Theorem of Perpendicular axes : It states that the moment of inertia of a planar body (Lamina) about an axis perpendicular to its plane is equal to the sum of its moment of inertia about two perpendicular axes and lying in the plane of the body eg. Moment of inertia of a disc about an axis through its centre of mass and perpendicular to its plane is— If ID = Moment of inertia of disc about one of its diameter (along yy axis car along xx axis) By perpendicular axis theorem, Izz = Ixx + Iyy Ixx = Iyy, mass distribution being identical in both the cases Read more on Sarthaks.com - https://www.sarthaks.com/216723/state-and-explain-parallel-axes-theorem-and-perpendicular-axes-theorem