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Since $P$ is on the point of sliding downwards, determine the coefficient of friction between $P$ and the cylinder surface.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A particle $P$ of mass $0.4\text{ kg}$ is touching the rough inner wall of a hollow cylinder of radius $0.5\text{ m}$. The particle and cylinder turn together at angular speed $6\text{ rad s}^{-1}$ about the cylinder’s vertical axis, so that $P$ travels 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 together with $a = r\omega^2$ to get $R = 0.4 \times 6^2 \times 0.5 = 7.2\,\text{N}$.” …
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