Question

drive an expression for the momentum of inertia of a rigid body (class11)​

Answer 1

Answer:

The rotational inertia of a body is called its moment of inertia denoted by I. The Moment of inertia depends on:

1. The size and shape of the body.

2. The axis of rotation.

3. The distribution of mass about the axis. The moment of inertia of a body about a given axis is the sum of the products of the masses of each particles and squares of their perpendicular distances from the axis of rotation

Let m1, m2, m3 ………….. are the masses of the particles of the body situated at distance r1, r2, r3 …………… from the axis of rotation then,

I = m1r1^2 + m2r2^2 + m3r3^2 + ………

I = Σ mr^2

hope you understand

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