System Of Particles And Rotational Motion Ques 67

67. There is a flat uniform triangular plate $A B C$ such that $A B=4 cm, B C=3 cm$ and angle $A B C=$ $90^{\circ}$. The moment of inertia of the plate about $A B, B C$ and $C A$ as axis is respectively $I_1, I_2$ and $I_3$. Which one of the following is true?[2000]

(a) $I_3>I_2$

(b) $I_2>I_1$

(c) $I_3>I_1$

(d) $I_1>I_2$

Show Answer

Answer:

Correct Answer: 67.(b)

Solution:

  1. (b)

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

Moment of Inertia depends upon mass and distribution of masses as $I=\Sigma m r^{2}$.

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

$\therefore I_2>I_1, I_2>I_3$

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