Question $1$: An engine shaft running at $120$ r$.$p$.$m$.$ is required to drive a line of machine shafts $($see

figure below$)$ by means of belts and pulleys. Given that:the figure A$=200$mm$,$B$=700$mm$,$C$=250$mm$,$D$=900$mm and E$=130$mm$.$

$>$ Total slip for pulley belt assembly $1=5\%,$ assembly $2=6\%$ and assembly $3=8\%.$

$>$

Determine

$($a$)$ The speed of the machine shaft that holding the pulley E $.$

$($b$)$ The minimum distance between shafts for each assembly.