The diagram shows a ring of mass $2{\text{ }}kg$ threaded on a fixed rough vertical rod. A light string is attached to the ring and is pulled upwards at an angle of ${30^ \circ }$ to the horizontal. The tension in the string is $T{\text{ }}N$. The coefficient of friction between the ring and the rod is 0.24. Find the two values of $T$ for which the ring is in limiting equilibrium.

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