Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A particle with mass $0.8\,\text{kg}$ rests on a rough plane inclined at an angle of $28^\circ$ to the horizontal. It is maintained in equilibrium by a force of magnitude $T\,\text{N}$. This force acts at an angle of $35^\circ$ above the line of greatest slope of the plane (see diagram). The coefficient of friction between the particle and the plane is $0.2$.
(main)[8]

Find the smallest and largest possible values of $T$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resolve the forces perpendicular to the plane to form an equation

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