Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A particle $P$ with mass $1.05\,\text{kg}$ is attached to one end of each of two light inextensible strings, whose lengths are $2.6\,\text{m}$ and $1.25\,\text{m}$. The opposite ends of the strings are fixed to points $A$ and $B$, which lie at the same horizontal level. $P$ is held in equilibrium at a point $1\,\text{m}$ below the level of $A$ and $B$ (see diagram).
(main)[6]

Determine the tensions in the strings.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Vertical resolution gives: $T_A(1/2.6)+T_B(1/1.25)=10.5$

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