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The figure shows particles A and B, of masses 
and 
respectively, attached to the ends of a light inextensible string that passes over a small smooth pulley. The pulley is fixed at the top of a plane which is inclined at an angle of 
to the horizontal. A hangs freely below the pulley and B is on the inclined plane. The string is taut and the section of the string between B and the pulley is parallel to a line of greatest slope of the plane. It is given that the plane is rough and the particles are in limiting equilibrium. Find the coefficient of friction between B and the plane.
