These are two-bonus question that I amuncertain about concerning moment of inertia. This is my answer andI need for someone to see if I am on the right track.

The moment of inertia of a system abouta line varies directly with the change in the distance of thesystem from a given time. I think that the answer is **false.**I think it varies depending on the object point mass constrained torotate about a fixed axis.

The moment of a particle about apoint varies directly with the change in distance of the particlefrom the given point. I think the answer is **true**. I thinkforce is a contributing factor that causes a change.

## Answers ( 1 )

Definition: The moment of inertia of a pointmass is the product of its mass and the square of its distance fromits point (or axis) of rotation, I = mr^{2}. That pointmass relationship becomes the basis for all other moments ofinertia since any object can be built up from a collection of pointmasses.Your statements:(1)

The moment of inertia of a system about a line variesdirectly with the change in the distance of the system from a giventime.false.The moment of a particle about a point varies directlywith the change in distance of the particle from the givenpoint.false, since the moment ofinertia is proportional to thesquareof the distance fromthe axis of rotation.