Mathematics (AS & A Level) · May / June 2025 · Paper 41 · Question 6

A B C P 0.3 kg Q 0.6 kg 30° ° θ Two particles, P and Q, of masses 0.3 kg and 0.6 kg respectively, are attached to the ends of a light inextensible string. The string passes over a smooth pulley fixed at a point B where the inclined planes AB and BC meet. P lies on the smooth plane AB which is inclined at an angle i° to the horizontal where . ° sin 0 4 i = . Q lies on the plane BC which is inclined at 30° to the horizontal. The string is taut and the particles can move on lines of greatest slope of the two planes (see diagram). The particles are released from rest.

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