Question

The moment of inertia of an area is always least with respect to

Answer 1

Answer:

The moment of inertia of a given area is always least with respect to the centroidal axis.

The centroidal axis is the axis that is known to pass through the centroid of the given area.

Moment of inertia is dependent mainly on the mass of a given object and the radius of gyration. This radius further gets reduced when the centre of mass of an object passes through the rotational axis.

Answer 2

Answer:

The moment of inertia is least when taken with respect to centroidal Axis.  

Explanation:

• We can say moment of inertia depends on centroidal Axis.  
• By following certain given area if an Axis which passing through the ‘centroid of specific area’ it is known as centroidal axis.
• The “radius of gyration” and the mass of the object determines the ‘moment of inertia’ for an object.
• Greatest creatures are more when the objects centre of mass passes the rotational axis.
• Hence the moment of inertia is least when taken with respect to centroidal Axis.