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June 2010 p43 q4
3885
The diagram shows a vertical cross-section of a triangular prism which is fixed so that two of its faces are inclined at 60° to the horizontal. One of these faces is smooth and one is rough. Particles A and B, of masses 0.36 kg and 0.24 kg respectively, are attached to the ends of a light inextensible string which passes over a small smooth pulley fixed at the highest point of the cross-section. B is held at rest at a point of the cross-section on the rough face and A hangs freely in contact with the smooth face (see diagram). B is released and starts to move up the face with acceleration 0.25 m s-2.
By considering the motion of A, show that the tension in the string is 3.03 N, correct to 3 significant figures.
Find the coefficient of friction between B and the rough face, correct to 2 significant figures.