Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
A particle weighing $25\text{ N}$ has two light inextensible strings fixed to it. Each string goes over a smooth fixed pulley and then supports a hanging particle of weight $A\text{ N}$ or $B\text{ N}$ at the lower end. The parts of the strings that slope away make angles of $30^\circ$ and $40^\circ$ respectively with the vertical (see diagram). The system is in equilibrium.
(main)[6]
Determine the values of $A$ and $B$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Resolve the forces into horizontal and vertical components, or try Lami’s theorem” …