(i)[4]
Find the horizontal and vertical components of the force exerted on the ring by the rod, in terms of $T$.
(ii)[3]
Find the value of $T$, given that the equilibrium is limiting.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
A ring of mass $4\,\text{kg}$ is fastened to one end of a light string. The ring is threaded onto a fixed horizontal rod, and the string is pulled at an angle of $25^{\circ}$ below the horizontal (see diagram). When the tension in the string is $T\,\text{N}$, the ring is in equilibrium. The coefficient of friction between the ring and the rod is $0.4$.