Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A block with mass $12\,\text{kg}$ rests on a plane inclined at $24^{\circ}$ to the horizontal. It is connected to a light string that lies at an angle of $36^{\circ}$ above the line of greatest slope. The string tension is $65\,\text{N}$ (see diagram). The coefficient of friction between the block and the plane is $\mu$. The block is in limiting equilibrium and is just about to move up the plane.
(main)[6]

Calculate $\mu$.

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This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Take components parallel to the plane.

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