These are two-bonus question that I amuncertain ab...

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.

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    Answers ( 1 )

    1. esat adal
      esat adal
      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 = mr2. 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.
      This doesn't make sense, time is not involved (except whendealing with angular momentum, say, L = wI). So I would definatelysay this statement is false.
      (2) The moment of a particle about a point varies directlywith the change in distance of the particle from the givenpoint.
      I assume you mean moment of inertia, rather than moment.
      This is also false, since the moment ofinertia is proportional to the square of the distance fromthe axis of rotation.

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