Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A ring of mass $4\,\text{kg}$ is placed on a smooth circular rigid wire with centre $C$. The wire is fixed in a vertical plane, and the ring is held in equilibrium by a light string attached to $A$, the topmost point of the circle. The string is inclined at $25^{\circ}$ to the vertical (see diagram).
(main)[6]

Find the tension in the string and the magnitude of the normal reaction exerted by the wire on the ring.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resolution of forces in one direction, e.g. $T\cos25=40+R\cos50$

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