$4.$ For the gear$-$set below, answer the followino mestions

$($a$)$ What name is commonly given to this arrangement of gears?

$($b$)$ How many degrees of freedom does this system have?

$($c$)$ Indicate on the drawing the following: sun gear, ring gear and arm

$($d$)$ Sketch the gear$-$set in side$-$view, according to the convention discussed in class.

$($e$)$ If the sun gear and planets are identical, each having $24$ teeth, calculate the number of teeth of the ring gear.