Question

Moment of inertia of a disc about its own axis is i its moment of inertia about the tangent structures in its plane is

Answer 1

Answer:

considering moment of inertia is given perpendicular to axis, for disc it is MR²/2. Now, moving to tangential axis new MI is MR²/2 + MR² = 3MR²/2. Hence, new MI = 3i.

Answer 2

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.