A BC is right angled triangular plane of uniform thickness. The sides are such that A B BC as shown in figure. I 1 , I 2 , I 3 are moments of inertia about A B , BC and A C , respectively. The

Question

A BC is right angled triangular plane of uniform thickness. The sides are such that A B > BC as shown in figure. I 1 ​ , I 2 ​ , I 3 ​ are moments of inertia about A B , BC and A C , respectively. Then which of the following relations is correct?

TestHub · Accepted Answer

The moment of inertia of a body about an axis depends not only on the mass of the body but also on the distribution of mass about the axis. For a given body mass is same, so it will depend only on the distribution of mass about the axis. The mass is farthest from axis BC , so I 2 ​ is maximum mass is nearest to axis A C , so I 3 ​ is minimum. Hence, the correct sequence will be I 2 ​ > I 1 ​ > I 3 ​

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