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A ring of mass 4 kg is attached to one end of a light string. The ring is threaded on a fixed horizontal rod and the string is pulled at an angle of \(25 ^ { \circ }\) below the horizontal (see diagram). With a tension in the string of \(T \mathrm {~N}\) the ring is in equilibrium.
- Find, in terms of \(T\), the horizontal and vertical components of the force exerted on the ring by the rod.
The coefficient of friction between the ring and the rod is 0.4 .
- Given that the equilibrium is limiting, find the value of \(T\).