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4 Unit A2 2: Applied Mathematics (A-level only)

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Question 10

A uniform ladder ABABAB, with length 4 m and mass 12 kg, rests with its end A A\,A on rough horizontal ground. The ladder is in limiting equilibrium against a fixed smooth horizontal rail at a point CCC, where AC=3AC = 3AC=3 m. The ladder is in a vertical plane perpendicular to the rail and is inclined to the horizontal at an angle α\alphaα, where tan⁡α=4/3\tan \alpha = 4/3tanα=4/3. The coefficient of friction between the ladder and the ground is μ\muμ.

Using the model, find the value of μ\muμ.

[8]
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4 Unit A2 2: Applied Mathematics (A-level only) Questions

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