Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A ring of mass $0.8 \text{ kg}$, small in size, is placed on a rough rod fixed horizontally. The ring is in equilibrium and experiences a force of magnitude $7 \text{ N}$ acting upward at $45^{\circ}$ to the horizontal.
(i)[2]

Show that the normal component of the contact force on the ring has magnitude $3.05 \text{ N}$, correct to $3$ significant figures.

(ii)[3]

The ring is in limiting equilibrium. Find the coefficient of friction between the ring and the rod.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resolves vertically to obtain $R + 7\sin45^\circ = 0.8g$

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