Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A particle of mass $0.6\,\text{kg}$ rests on a rough plane inclined at $35^\circ$ to the horizontal. It is held in equilibrium by a horizontal force of magnitude $P\,\text{N}$ acting in a vertical plane that contains a line of greatest slope (see diagram). The coefficient of friction between the particle and the plane is $0.4$.
(main)[6]

Find the least possible value of $P$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: An attempt to resolve forces either parallel to or perpendicular to the plane

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