Mathematics (AS & A Level) · May / June 2024 · Paper 42 · Question 7

30° P Q 2.5 kg 0.5 kg 2 m Two particles P and Q of masses 2.5 kg and 0.5 kg respectively are connected by a light inextensible string that passes over a small smooth pulley fixed at the top of a plane inclined at an angle of 30° to the horizontal. Particle P is on the plane and Q hangs below the pulley such that the level of Q is 2 m below the level of P (see diagram). Particle P is released from rest with the string taut and slides down the plane. The plane is rough with coefficient of friction 0.2 between the plane and P.

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