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If $P$ is just on the point of sliding down, determine the coefficient of friction between $P$ and the cylinder surface.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A rough-walled hollow cylinder has radius $0.5\,\text{m}$. A particle $P$ of mass $0.4\,\text{kg}$ is touching the inside surface of the cylinder. The particle and the cylinder turn together with angular speed $6\,\text{rad s}^{-1}$ about the cylinder’s vertical axis, so the particle travels round in a horizontal circle (see diagram).
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies Newton's second law in the horizontal direction: $R = 0.4 \times 6^2 \times 0.5 \;(=7.2\,\text{N})$” …
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