System of Particles and Rotational Motion - Result Question 63

70. There is a flat uniform triangular plate ABC such that AB=4cm,BC=3cm and angle ABC= 90. The moment of inertia of the plate about AB,BC and CA as axis is respectively I1,I2 and I3. Which one of the following is true?[2000]

(a) I3>I2

(b) I2>I1

(c) I3>I1

(d) I1>I2

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Answer:

Correct Answer: 70. (b)

Solution:

  1. (b)

If we choose BC as axis. Distance is maximum. Hence, Moment of Inertia is maximum.

Moment of Inertia depend upon mass and distribution of masses as I=Σmr2.

Further, as the distance of masses is more, more is the moment of Inertia.

I2>I1,I2>I3



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