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7. A (m) B (2m) Two particles A and B, of mass m and 2m respectively, are attached to the ends of a light inextensible string. The particle A lies on a rough horizontal table. The string passes over a small smooth pulley P fixed on the edge of the table. The particle B hangs freely below the pulley, as shown in the diagram above. The force of the friction between A and the table is umg N. The particles are released from rest with the string taut. Immediately after release, the magnitude of the acceleration of A and B is - g. By writing down separate equations of motion for A and B, a) find the tension in the string immediately after the particles begin to move, b) show that H = = When B has fallen a distance h, it hits the ground and does not rebound. Particle A is then a distance = h from P. c) Find the speed of A as it reaches P. d) State how you have used the information that the string is light