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Three point masses m(1), m(2) and m(3) a...

Three point masses `m_(1), m_(2)` and `m_(3)` are located at the vertices of an equilateral triangle of side `alpha`. What is the moment of inertia of the system about an axis along the altitude of the triangle passing through `m_(1)?`

A

`(m_(2) + m_(3)) (a^(2))/(4)`

B

`(m_(1) + m_(2) + m_(3))a^(2)`

C

`(m_(1) + m_(2)) (a^(2))/(4)`

D

`(m_(2) + m_(3))a^(2)`

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