# Is the Moment of Inertia strictly different

1. Aug 5, 2014

### deep838

I would like to know if there is any proof as to whether the moment of inertia for two bodies (the masses of each body are distributed on a line) about their respective center of masses, is strictly different. If not, can anyone provide me a link to where the work is computed.

2. Aug 5, 2014

### SteamKing

Staff Emeritus

How is the mass of each body 'distributed on a line'? What does that mean?

3. Aug 5, 2014

### deep838

I mean to say that the bodies are not 2 dimensional, they only have length.. Like a rope. Only the distribution is not continuous, it is made of a number of masses

4. Aug 5, 2014

### A.T.

You derive the total moment of inertia by integrating (adding up) the moments of inertia, of these masses.

5. Aug 5, 2014

### deep838

Yes, but is that value strictly different for two different bodies? Or can two mass distribution have the same moment of inertia?

6. Aug 5, 2014

### A.T.

Of course they can.

7. Aug 6, 2014

### sophiecentaur

Have you actually looked at the definition of MI?