Three point masses each of mass \( m \) are joined together using a string to form an equilatera...

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Three point masses each of mass \( m \) are joined together using a string to form an equilateral triangle of side \( a \). The system is placed on a smooth horizontal surface and rotated with a constant angular velocity \( \omega \) about a vertical axis passing through the centroid. Then the tension in each string is
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