Design a $9-$speed gear box for the following data. Minimum speed: $100$rpm$,$ step ratio: $1\mathrm{.}25.$ The input is from a $4$KW$,1440$rpm motor. Draw the speed diagram, kinematic diagram and indicate the number of teeth on each gear. $($please don't copy from chatgpt and give me those diagram perfectly asked in the above question$)$