**Part A On which of the following does the moment of inertia of an object depend?…**

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## Question “Part A On which of the following does the moment of inertia of an object depend?…”

## Answer

### Answer 1

*I=mr2* is the moment of inertia for a point mass, m, located at a distance of r from the axis rotation.

The moment of inertia for a system particles is

where

refers to the mass of the HTML2$ particle at a distance #media_tag_3$ of the axis rotation.

A solid object can be thought to be composed of small mass elements (dm), the Moment of Inertia is the process of integrating these small mass elements.

where r is distance of mass element (dm) from the axis rotation. The mass density of solids is determined by r.

where dV represents the volume of the small-mass element.

**Part A**

The moment of inertia for an object is not dependent on linear speed, linear acceleration, or angular speed.

It depends on total mass. If there are two identical spheres with the same radius, the one with more mass will have more momentum of inertia. So, **moment of Inertia depends on total mass of
an object.**

The moment of inertia **depends on density** is as suggested by equation (1). The moment of Inertia for a disc with mass M and radius r is 1/2 MR2, whereas the moment inertia for a ring with mass M, radius R and mass MR2 is MR2. This is the moment of inertia **depends on the shape** for an object.

The distance between the axis and the moment of inertia is r. Therefore, **depends on the axis of rotation.** is the moment of Inertia.

These options are correct.

## Conclusion

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