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A-LevelMathematicsMechanicsOct/Nov 2023Paper 4 Q57 Marks

The diagram shows a particle A, of mass 1.2kg, which lies on a plane inclined at an angle of 40° to the horizontal and a particle B, of mass 1.6kg, which lies on a plane inclined at an angle of 50° to the horizontal. The particles are connected by a light inextensible string which passes over a small smooth pulley P fixed at the top of the planes. The parts AP and BP of the string are taut and parallel to lines of greatest slope of the respective planes. The two planes are rough, with the same coefficient of friction, μ, between the particles and the planes [Figure 5.1]. Find the value of μ for which the system is in limiting equilibrium.

📋 Examiner Report & Trap Analysis

Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...

🎯 Mark Scheme Breakdown

Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.

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About This A-Level Mathematics Question

Topic

This structured question tests Mechanics in A-Level Mathematics (syllabus code 9709). It is worth 7 marks.

Source

This question appeared in the Cambridge A-Level Mathematics Oct/Nov 2023 examination, Paper 4 Variant 1.

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