Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A smooth ring $R$ of mass $0.2\,\text{kg}$ is placed on a light string $ARB$. The two ends of the string are fixed at points $A$ and $B$, with $A$ vertically above $B$. The string is taut, and $ABR = 90^\circ$. The angle between the segment $AR$ of the string and the vertical is $60^\circ$. The ring is kept in equilibrium by a force of magnitude $X\,\text{N}$, acting on the ring in a direction perpendicular to $AR$ (see diagram).
(main)[5]

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

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Makes an attempt to resolve the forces in one direction

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