# Four point masses each of value  m  , are placed at the corners of a square  ABCD  of side  l   The moment of inertia of this system about an axis through  A  and  parallel to  BD  is Option 1) Option 2) Option 3) Option 4)

As we learnt in

Moment of inertia for system of particle -

- wherein

Applied when masses are placed discretely.

$\dpi{100} I=I_{D}+I_{B}+I_{C}\; \; \; or\; \; \; I=\frac{2ml^{2}}{2}+m\left ( \frac{2l}{\sqrt{2}} \right )^{2}$

$\dpi{100} I=\frac{2ml^{2}}{2}+\frac{4ml^{2}}{2}$

$\dpi{100} or\; \; \;I= \frac{6ml^{2}}{2}=3ml^{2}$

Option 1)

This is an incorrect option.

Option 2)

This is an incorrect option.

Option 3)

This is an incorrect option.

Option 4)

This is the correct option.

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