As distance increases between most of the mass of an object and its center of rotation, how does rotational inertia change

Rotational inertia increases with increasing distance

Explanation:

We understand by rotational inertia as the resistance (force) offered by a body that is rotating around an axis to modify its angular velocity or to cease movement.

Rotational inertia depends on the mass of the body that rotates and the distance at which it is relative to the axis of rotation.

Suppose that the mass m located at a distance d from the axis of rotation we want to begin to rotate, that is, move from rest to movement.

  To overcome its Inertia and begin to rotate around the axis of rotation we will have to apply a Force.

   We want to carry out the same action with the content of the figure on the right.

    The mass m (both masses are equal) is located at d 'of the axis of rotation.

As the distance d <d ’we will have to perform a Force greater than in the previous case to overcome its Inertia.

  If the distances are the same but the masses are different, it is not difficult to realize that to overcome the Inertia of the mass we will have to apply a major forze

For all the above we can say that the momentum of a rotating mass depends on the Inertia and also its angular acceleration.

  As your speed increases the greater the moment.

It allows us to write the next relation:

t = I x α

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