Mathematics (AS & A Level) · May / June 2016 · Paper 41 · Question 5

10 kg 5 kg ! Two particles of masses 5 kg and 10 kg are connected by a light inextensible string that passes over a fixed smooth pulley. The 5 kg particle is on a rough fixed slope which is at an angle of ! to the horizontal, where tan ! = 3 4. The 10 kg particle hangs below the pulley (see diagram). The coefficient of friction between the slope and the 5 kg particle is 1 2. The particles are released from rest. Find the acceleration of the particles and the tension in the string. [7]

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