Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

The diagram depicts a particle with mass $0.6\,\text{kg}$ resting on a plane that is inclined at $25^{\circ}$ to the horizontal. A force of magnitude $P\,\text{N}$ acts on the particle up the plane, parallel to a line of greatest slope. The coefficient of friction between the particle and the plane is $0.36$. Assuming that the particle is in equilibrium,
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Find the range of possible values of $P$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resolving forces parallel to the direction of $P$ gives: $P = \pm F + 0.6g\sin 25^\circ$

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