(i)[5]
Find the tension in $AB$ of the string and the tension in $BC$ of the string.
(ii)[5]
Find the coefficient of friction between the ring and the rod, given that the equilibrium is limiting and the ring is just about to slide up the rod.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
A small ring of mass $0.2\,\text{kg}$ is placed on a fixed vertical rod. The end $A$ of a light inextensible string is fastened to the ring. The other end $C$ of the string is fixed to a point on the rod above $A$. A horizontal force of magnitude $8\,\text{N}$ acts at the point $B$ of the string, where $AB = 1.5\,\text{m}$ and $BC = 2\,\text{m}$. The system is in equilibrium, the string is taut and $AB$ is at right angles to $BC$ (see diagram).