A \( T \) joint is formed by two identical rods \( A \) and \( B \) each of mass \( m \) and len...

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A \( T \) joint is formed by two identical rods \( A \) and \( B \) each of mass \( m \) and length \( L \) in the \( X Y \) plane as shown. Its moment of inertia about axis coinciding with \( A \) is [ \( \mathbf{J} \) \& K CET 2006]
(a) \( \frac{2 m L^{2}}{3} \)
(b) \( \frac{m L^{2}}{12} \)
(c) \( \frac{m L^{2}}{6} \)
(d) None of these
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