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A-LevelMathematicsMechanicsMay/June 2023Paper 4 Q713 Marks

Two particles P and Q, of masses 2kg and 0.25 kg respectively, are connected by a light inextensible string that passes over a fixed smooth pulley. Particle P is on an inclined plane at an angle of 30° to the horizontal. Particle Q hangs below the pulley. Three points A, B and C lie on a line of greatest slope of the plane with AB = 0.8 m and BC = 1.2 m (see diagram). Particle P is released from rest at A with the string taut and slides down the plane. During the motion of P from A to C, Q does not reach the pulley. The part of the plane from A to B is rough, with coefficient of friction 0.3 between the plane and P. The part of the plane from B to C is smooth. [Figure 7.1]

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About This A-Level Mathematics Question

This structured question appeared in the Cambridge A-Level Mathematics (9709) May/June 2023 examination, Paper 4 Variant 2. It tests the topic of Mechanics and is worth 13 marks.

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