Mathematics (AS & A Level) · May / June 2025 · Paper 45 · Question 7

B A m kg 6.5 kg a Two particles A and B of masses 6.5 kg and m kg respectively are connected by a light inextensible string that passes over a smooth pulley. The pulley is fixed at the top of a rough slope which is at an angle of a to the horizontal ground, where tan 12 5 a = . A is on the rough slope and B hangs below the pulley (see diagram). The coefficient of friction between the slope and A is 0.4.

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