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

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Question 70

A window cleaner's ladder AB AB\,AB has a mass of 15 kg and a length of 6 m. The ladder is modelled as a uniform rod. It rests with its lower end A A\,A on a rough horizontal pavement and its upper part against a smooth horizontal rail at point CCC. Given AC=5AC = 5AC=5 m and the ladder is in limiting equilibrium. The ladder makes an angle α \alpha\,α with the horizontal, where tan⁡α=3/4\tan \alpha = 3/4tanα=3/4. The coefficient of friction at the ground is μ\muμ.

Calculate the value of μ\muμ.

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

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