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 $0.3$.
(main)[8]
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 $T\sin60+R=25\cos20$” …