Three point masses each of mass m are placed at the corners of an equilateral t

Question

Three point masses each of mass m are placed at the corners of an equilateral triangle of side a. The moment of inertia of system about the side AB is

Options:

A . ma2

B . 3ma2

C . 34ma2

D . 23ma2

Answer: Option C
:
C
The moment of inertia of system about AB side of triangle

I = I_{A} + I_{B} + I_{C}

= 0 + 0 + m x^{2}

= m {(\frac{a \sqrt{3}}{2})}^{2} = \frac{3}{4} m a^{2}

Three Point Masses Each Of Mass M are Placed At The Corners...

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