$(5)$ Design a gear train for the following design application. The desired motion is characterized below: $($SEE PHOTO$)$

Direction of rotation: counterclockwise about axis parallel to the X $-$axis

Speed of rotation: $100$ RPM

Torque: $\backslash (\backslash$quad$>400\backslash$mathrm$\{$Nm$\}\backslash )$

Actuator can spin the shaft at $1000$ RPM while producing $150$ Nm of torque

Size restriction $-$ A single gear cannot be larger than $40$ cm in diameter.

Assume origin $\backslash ((0,0,0)\backslash )$ at the end of motor's shaft. The location of desired motion is $\backslash ((210,65,40)\backslash )$

It is expected you might have to make some assumptions, clearly communicate those assumptions.

Draw a schematic of the gear train and give details about each component of the gear train:

$-$ Type of gear, for each gear

$-$ Diameter and number of teeth on each gear

$-$ Shaft attachment, location, and orientation

In your schematic, clearly label the direction of rotation and speed of each gear