Rotational Motion Question 199

Question: Point masses 1, 2, 3 and 4 kg are lying at the points (0,0,0), (2,0,0), (0,3,0) and (-2, -2,0) respectively. The moment of inertia of this system about X-axis will be

Options:

A) $43kgm^{2}$

B) $34kgm^{2}$

C) $27kgm^{2}$

D) $72kgm^{2}$

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Moment of inertia of the whole system about the axis of rotation will be equal to the sum of the moments of inertia of all the particles.

$\therefore I=I _{1}+I _{2}+I _{3}+I _{4}$

$=0+0+27+16=43kgm^{2}$



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