Mathematics (AS & A Level) · Oct / Nov 2022 · Paper 43 · Question 7

Particles of masses 1.5kg and 3kg lie on a plane which is inclined at an angle of ! to the horizontal, where tan ! = 3 4. The section of the plane from A to B is smooth and the section of the plane from B to C is rough. The 1.5kg particle is held at rest at A and the 3kg particle is in limiting equilibrium at B. The distance AB is xm and the distance BC is 4m (see diagram).

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