State and prove the theorem of moment of inertia.
Answers
Parallel theorem of moment of inertia states that, “Moment of inertia of any rotating body about same axis parallel to the axis passing through centre of mass is equal to the sum of the moment of inertia about centre of mass (C.M.) and product of the total mass of the rotating body and square of the distance between ...
Moment of inertia is the name given to rotational inertia, the rotational analog of mass for linear motion. It appears in the relationships for the dynamics of rotational motion. The moment of inertia must be specified with respect to a chosen axis of rotation. For a point mass, the moment of inertia is just the mass times the square of perpendicular distance to the rotation axis, I = mr2. That point mass relationship becomes the basis for all other moments of inertia since any object can be built up from a collection of point masses.