Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A ring with mass $0.2\,\text{kg}$ is placed on a fixed rough horizontal rod, and a light inextensible string is fixed to the ring at an angle $\alpha$ above the horizontal, where $\cos\alpha = 0.96$. The ring is in limiting equilibrium, and the tension in the string is $T\,\text{N}$ (see diagram). The coefficient of friction between the ring and the rod is $0.25$.
(main)[5]

Determine the value of $T$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: The horizontal part of the tension is $F=T\cos\alpha=0.96T$

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