1. The teeth numbers of all gears of the follow differential gear train are
shown in the picture. $n_1$=200 r/min, $n_3$=50 r/min. Find magnitude and
direction of $n_H$:
(1) If the directions of $n_1$ and $n_3$ are same;
(2) If the directions of $n_1$ and $n_3$ are different;
2. The teeth numbers of all gears of the gear train are shown in the follow
picture. $n_1$=500 r/min. Find magnitude and direction of $n_H$:
3. In the follow gear train, all gears are standard spur gears, the module m is
2mm, the teeth number $Z_1$ = 20, $Z_2$ = 32, $Z_y$=18, $Z_x$=20, $Z_4$ = 30.Calculate
follow questions :
(1) Teeth numbers $Z_3$ and $Z_5$, if $a_{12} = a_{23}$;
(2) The transmission ratio $i_{1H}$ ;