Rotational Motion Question 210
Question: There is a flat uniform triangular A plate ABC such that $AB=4cm,BC=3cm$ and angle$abc=90{}^\circ $ . The moment of inertia of the plate about AB, BC and CA as axis is respectively ${{I} _{1,}}I _{2}$ and$I _{3}$ . Which one of the following is true?
Options:
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: B
Solution:
[b] Moment of Inertia depend upon mass and distribution of masses as I $=\Sigma mr^{2}.$
$ Further, as the distance of masses is more, more is the moment of Inertia.
If we choose BC as axis.
Distance is maximum.
Hence, Moment of Inertia is maximum.
$\therefore , I_2 > I_1 , I_2 > I_3 $
