Standard +0.3 This is a straightforward statics problem requiring resolution of forces in two directions and applying equilibrium conditions. The setup is standard (ring on wire with string), the angle is given, and students simply need to resolve the weight, tension, and normal reaction. It's slightly easier than average because it's a direct application of basic mechanics principles with no geometric complications or multi-step reasoning required.
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\includegraphics[max width=\textwidth, alt={}, center]{4a2bad7c-6720-414c-b336-060afb2255e9-05_610_591_257_778}
A ring of mass 4 kg is threaded on a smooth circular rigid wire with centre \(C\). The wire is fixed in a vertical plane and the ring is kept at rest by a light string connected to \(A\), the highest point of the circle. The string makes an angle of \(25 ^ { \circ }\) to the vertical (see diagram).
Find the tension in the string and the magnitude of the normal reaction of the wire on the ring.
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\includegraphics[max width=\textwidth, alt={}, center]{4a2bad7c-6720-414c-b336-060afb2255e9-05_610_591_257_778}
A ring of mass 4 kg is threaded on a smooth circular rigid wire with centre $C$. The wire is fixed in a vertical plane and the ring is kept at rest by a light string connected to $A$, the highest point of the circle. The string makes an angle of $25 ^ { \circ }$ to the vertical (see diagram).
Find the tension in the string and the magnitude of the normal reaction of the wire on the ring.\\
\hfill \mbox{\textit{CAIE M1 2022 Q3 [6]}}