Mathematics (AS & A Level) · May / June 2023 · Paper 42 · Question 7

Q P 0.25 kg 2 kg 30Å A B C 1.2 m 0.8 m Two particles P and Q, of masses 2kg and 0.25kg 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 30Å 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 = 0.8m and BC = 1.2m (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.

Read automatically from the paper; the printed page above is exact.