Two masses m1 and mg are connected by a niassless inextensihle string of length E. The string is laid over a pulley (of negligible mass and diameter), and the pulley sits atop a vertical post. The mass and string are set in rotating motion with constant. angular velocity u). The figure below shows the system of masses in \"equilil'irium\" in the rotating frame (ate. all the angles and lengths given are constants in time}. (a) [5 pt) Draw the free-body diagrams [or each mass in the rotating frame, and write down the equations [or Newton's second law. (b) (5 pt) Find the tension T, the lengths f1 and f2, where f 2 1 + 2, and the angles 61 and 62. Give your answers in terms of g, ml, \"12., a), and f