Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A particle with mass $2.5\text{ kg}$ is kept in equilibrium on a rough plane inclined at $20^\circ$ to the horizontal by a force of magnitude $T\text{ N}$ acting at an angle of $60^\circ$ to a line of greatest slope of the plane (see diagram). The coefficient of friction between the particle and the plane is $0.3$.
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Find the greatest possible value of $T$ and the least possible value of $T$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Required equation $T\sin60+R=25\cos20$

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