Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A block with mass $12\,\text{kg}$ is pulled upward by a rope on a rough plane. The plane makes an angle of $20^\circ$ to the horizontal. The rope acts parallel to the line of greatest slope of the plane. The coefficient of friction between the block and the plane is $0.4$. The block’s acceleration is $2\,\text{m s}^{-2}$.
(main)[4]

Find the rope tension.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Employs $R = 12g\cos20$.

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