Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A ring $P$ of mass $0.03\,\text{kg}$ is fitted on a rough vertical rod. A light inextensible string is fastened to the ring and pulled upwards at an angle of $15^\circ$ to the horizontal. The tension in the string is $2.5\,\text{N}$ (see diagram). The ring is in limiting equilibrium and is just about to slide up the rod.
(main)[4]

Find the coefficient of friction for the ring against the rod.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: $R = 2.5\cos 15$

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