What is the physical meaning of moment of inertia(area) ?

Question

We know that, the moment of inertia is nothing but moment of moment, but what is the physical meaning.

Answer 1

The moment of inertia of an object about a given axis describes how difficult it is to change its angular motion about that axis. For example, consider two discs of the same mass, one large and one small in radius. Assuming that there is uniform thickness and mass distribution, the larger radius disc requires more effort to accelerate it (i.e. change it angular motion) because its mass is effectively distributed further from its axis of rotation. Conversely, the smaller radius disc takes less effort to accelerate it because its mass is distributed closer to its axis of rotation. Quantitatively, the larger disc has a larger moment of inertia, whereas the smaller disc has a smaller moment of inertia.

The moment of inertia has two forms, a scalar form I (used when the axis of rotation \mathbf{\hat{n}} is known) and a more general tensor form \mathbf{I} that does not require knowing the axis of rotation. The scalar moment of inertia I is often called simply the "moment of inertia".

Answer 2

Significance Of Moment Of Inertia

Answer 3

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the mass of the moment arm is considered to be zero it is imaginary here in the concept of moment we assume to apply a force to a point or system with a arm of negligible mass as it does not alter its centre of mass and also the moment of inertia and also themoment of inertia increases when there is an increase in the radius of gyration that is the effective radius of the system when it is set into rotation and is different from the moment arm

Answer 4

"To Live In The Moment"? I would interpret this to mean that the very next second things could change. For the better or worse. An example....Yesterday I was so depressed because I'm pretty sure I saw the last snow of the season here. But then a few hours later I saw the sun come out and had a great laugh at my youngest boy and 2 nephews looking for Easter Eggs. My day turned around just like that.

Answer 5

The moment of inertia is a geometric property of a cross section of a beam. It is an indication of the beam's resistance to bending.
the higher the moment of inertia, the greater the resistance to bending. or the less the beam will be stressed under a given load. this is obvious from the formula for bending stress:

for a symetrical cross section.
Stress =bending moment times half the beam depth divided by the moment of inertia.

Answer 6

inertia corresponds to mass content of the object

The inertial content leads to moment of inertia

Sometimes, the train or car or any mass keeps on moving bdcause of inertial content only