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

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