Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A rough horizontal rod carries a small ring of mass $0.8\,\text{kg}$, and the ring is held in equilibrium while a force of magnitude $7\,\text{N}$ acts on it upwards at $45^\circ$ to the horizontal.
(a(i))[2]

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

(a(ii))[3]

Because 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: From vertical equilibrium: $R+7\sin45^\circ=0.8g$

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