Question

Name the factor on which moment of inertia of a body depends

Answer 1

Moment of inertia:

1. Moment of inertia is the property of the body due to which it resists angular acceleration.
2. It 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.
3. The formula for the moment of inertia is the “sum of the product of mass” of each particle with the “square of its distance from the axis of the rotation”.
4. Mathematically, .$I=\Sigma m_i{r_i}^2$, Where $m_i$=sum of all particle's mass. $r_i$=distance from the axis of the rotation.
5. The unit of moment of inertia is kilogram-meter square $\left(Kg-m^2\right)$.

Thus, from the formula of the moment of inertia of a body, it can be said that the factors on which it depends are mass and distance from the axis of the rotation.