Three point masses \( m_{1}, m_{2} \) and \( m_{3} \) are located at the vertices of an equilate... VIDEO
Three point masses \( m_{1}, m_{2} \) and \( m_{3} \) are located at the vertices of an equilateral triangle of side \( a \). What is the moment of inertia of the system about an axis along the altitude of the triangle passing through \( m_{1} \) ?
(1) \( \left(m_{1}+m_{2}\right) \frac{a^{2}}{4} \)
(2) \( \left(m_{2}+m_{3}\right) \frac{a^{2}}{4} \)
(3) \( \left(m_{1}+m_{3}\right) \frac{a^{2}}{4} \)
(4) \( \left(m_{1}+m_{2}+m_{3}\right) \frac{a^{2}}{4} \)
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