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System of Particles and Rotational Motion
Question
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ABC is the right-angled triangular plane of uniform thickness. The sides are such that AB>BC as shown in the figure. I1, I2, I3 are moments of inertia about AB, BC and AC, respectively. Then which of the following relations is correct?

  • I1 = I2 = I3

  • I2 > I1> I3

  • I3<I2<11

  • I3>I1>I2

Answer

B.

I2 > I1> I3

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 the same, so it will depend only on the distribution of mass about the axis. The mass is farthest from axis BC, so I2 is maximum mass is nearest to axis AC, so I3 is minimum.

Hence, the correct sequence will be I2>I1>I3

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