Question

9.1) Define moment of inertia. Write the parallel and perpendicular axis theorem.
ii) Derive an expression for moment of inertia of a disc of radius r, mass m about
an axis along its diameter​

Answer 1

*Moment of inertia:-A quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation.

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*Parallel axis theorem:- Parallel axis theorem is applicable to bodies of any shape. The theorem of parallel axis states that the moment of inertia of a body about an axis parallel to an axis passing through the centre of mass is equal to the sum of the moment of inertia of body about an axis passing through centre of mass and product of mass and square of the distance between the two axes.

IZ’ = Iz + Mα²

where, α is the distance between two axes.

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Answer 2

Explanation:

arallel axis theorem states that. The moment of inertia of a body about an axis parallel to the body passing through its center is equal to the sum of moment of inertia of body about the axis passing through the center and product of mass of the body times the square of distance between the two axes.