Two uniform rods \( A \) and \( B \) of the same diameter having lengths \( 2 \mathrm{~m} \) and...

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Two uniform rods \( A \) and \( B \) of the same diameter having lengths \( 2 \mathrm{~m} \) and \( 3 \mathrm{~m} \) and having masses per unit length as 4 \( \mathrm{kg} / \mathrm{in} \) and \( 6 \mathrm{~kg} / \mathrm{m} \) respectively are joined end to end. Find the position of the centre of mass of the combined rod from the free end of \( A \).
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