Theory of Mechanism and Machine I

In an epicyclic gear train shown in the figure, the internal wheels A and B and compound wheels C and D rotate independently about axis O. The wheels E and F rotate on pins fixed to the arm G. E gears with A & C and F gears with B & D. All the wheels have the same module and the number of teeth are: \(T_C=28,T_D=26,T_E=T_F=18\). Find: (i) the number of teeth on A and B (ii) if the arm G makes 100 rpm clockwise and A is fixed, find the speed of B (iii) if the arm G makes 100 rpm clockwise and wheel A makes 10 rpm counterclockwise, find the speed of wheel B.