Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A particle of mass $0.2\,\mathrm{kg}$ is fastened to one end of a light inextensible string. The opposite end of the string is fixed at a point on a vertical wall. The particle is held in equilibrium by a force of magnitude $X\,\mathrm{N}$, acting at right angles to the string, with the string taut and inclined at an angle of $30^\circ$ to the wall (see the diagram).
(main)[3]

Find the tension in the string together with the value of $X$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resolving the forces gives $X\cos30-T\sin30=0$

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