(i)[6]
Find the coefficient of friction between the ring and the rod.
(ii)[4]
When $\theta$ is above the horizontal (see Fig. 2), the ring moves. Find the acceleration of the ring.
Mathematics 9709 · AS & A Level · Newton's laws of motion
Newton's laws of motion — practice question
A small ring of mass $0.024$ kg is threaded onto a rough horizontal rod that is fixed in place. A light inextensible string is attached to the ring, and it is pulled by a force of magnitude $0.195$ N making an angle $\theta$ with the horizontal, where $\sin\theta = \frac{5}{13}$. When $\theta$ is below the horizontal (see Fig. 1), the ring is in limiting equilibrium.
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This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Resolve the forces horizontally to obtain $F = 0.195\cos \theta$” …
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