Moderate -0.3 This is a straightforward limiting equilibrium problem requiring resolution of forces in two directions and application of F=μR. The setup is standard with given coefficient of friction and angle, requiring only systematic application of equilibrium conditions with no geometric insight or multi-step problem-solving—slightly easier than average A-level mechanics.
2
\includegraphics[max width=\textwidth, alt={}, center]{f23ea8e7-9b81-4192-8c20-8c46aabfecca-2_195_719_1114_712}
A ring of mass 0.2 kg is threaded on a fixed rough horizontal rod and a light inextensible string is attached to the ring at an angle \(\alpha\) above the horizontal, where \(\cos \alpha = 0.96\). The ring is in limiting equilibrium with the tension in the string \(T \mathrm {~N}\) (see diagram). Given that the coefficient of friction between the ring and the rod is 0.25 , find the value of \(T\). [0pt]
[5]
2\\
\includegraphics[max width=\textwidth, alt={}, center]{f23ea8e7-9b81-4192-8c20-8c46aabfecca-2_195_719_1114_712}
A ring of mass 0.2 kg is threaded on a fixed rough horizontal rod and a light inextensible string is attached to the ring at an angle $\alpha$ above the horizontal, where $\cos \alpha = 0.96$. The ring is in limiting equilibrium with the tension in the string $T \mathrm {~N}$ (see diagram). Given that the coefficient of friction between the ring and the rod is 0.25 , find the value of $T$.\\[0pt]
[5]
\hfill \mbox{\textit{CAIE M1 2015 Q2 [5]}}