Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A block of mass $5\,\text{kg}$ is pulled up a rough plane by a rope, and the plane is inclined at $6^{\circ}$ to the horizontal. The rope runs parallel to the line of greatest slope of the plane, and the block travels at constant speed. The coefficient of friction between the block and the plane is $0.3$.
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Determine the tension in the rope.

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This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Normal reaction given by $R = 5g\cos6$.

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