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Determine the value of $P$.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
A particle with mass $12\,\text{kg}$ rests on a rough plane inclined at an angle of $25^\circ$ to the horizontal. A force of magnitude $P\,\text{N}$ is applied to the particle. This force is horizontal, and the particle is on the point of moving up a line of greatest slope of the plane. The coefficient of friction between the particle and the plane is $0.8$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Resolve the forces to obtain correct equilibrium equations, e.g. $R = 12g \cos 25 + P \sin 25$ and $P \cos 25 = F + 12g \sin 25$ (or an equivalent pair)” …
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