Mathematics (AS & A Level) · Oct / Nov 2021 · Paper 41 · Question 7

B 18Å A 2 kg 3 kg 0.45 m Two particles A and B of masses 2 kg and 3 kg respectively are connected by a light inextensible string. Particle B is on a smooth fixed plane which is at an angle of 18Å to horizontal ground. The string passes over a fixed smooth pulley at the top of the plane. Particle A hangs vertically below the pulley and is 0.45 m above the ground (see diagram). The system is released from rest with the string taut. When A reaches the ground, the string breaks. Find the total distance travelled by B before coming to instantaneous rest. You may assume that B does not reach the pulley. [8]

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