The lath machine in the Central University of Technology (CUT) mechanical workshop uses epicyclic gear train shown in Figure 1 to operate. Plate gear C of this gear system are carried on the arm A and...

Extracted text: The lath machine in the Central University of Technology (CUT) mechanical workshop uses epicyclic gear train shown in Figure 1 to operate. Plate gear C of this gear system are carried on the arm A and free to rotated. the pitch circle diameter of the internally toothed ring gear D is to be 214 mm and the module 4 mm. When the ring gear D is stationary, the arm A, which carries three planet wheels C of equal size, is to make one revolution in the same direction as the sun wheel B for every five revolutions of the driving spindle carrying the sunwheel B. Ring gear D Planet gear C Sun gear B Figure 1: An picyclic gear train of the lath machine Determine suitable number of teeth for all the wheels and the exact diameter of pitch circle of the ring. State an equation tha relate the number of teeth of gear D, B and C.