11 P 8kg Q 2kg 30 Two particles P and Q, with masses 2 kg and 8 kg respectively, are attached to the ends of a light inextensible string. The string passes over a small smooth pulley which is fixed at a point on the intersection of two fixed inclined planes. The string lies in a vertical plane that contains a line of greatest slope of each of the two inclined planes. Plane II, is inclined at an angle of 30 to the horizontal and plane II, is inclined at an angle of 0 to the horizontal. Particle P is on 17, and O is on 12 with the string taut (see diagram). II, is rough and the coefficient of friction between P and II, is VS I, is smooth. The particles are released from rest and P begins to move towards the pulley with an acceleration of g cos 0 ms-2. (i) Show that O satisfies the equation 4 sin 0-5 cos 0 = 1. [8] (ii) By expressing 4 sin 0-5 cos 0 in the form Resin(0-a), where R > 0 and 0