The shaft is constructed from a rod which has a mass per unit length of $5$ kg$/$mkg$/$m$.$ Determine the x$,$y$,$zx$,$y$,$z components of reaction at the bearings AA and BB if at the instant shown the shaft spins freely and has an angular velocity of $=30$rad$/$s$=30$rad$/$s$.$ Bearing AA can support a component of force in the y direction, whereas bearing BB cannot. $($Figure $1)$

Part A: What is the reaction at AA$?$

Enter the xx$,$ yy$,$ and zz components of the force separated by commas. Express your answers in newtons to three significant figures.

Part B: What is the reaction at BB$?$

Enter the xx$,$ yy$,$ and zz components of the force separated by commas. Express your answers in newtons to three significant figures.

Part C: What is the angular acceleration of the shaft at this instant?

Enter the xx$,$ yy$,$ and zz components of the angular acceleration separated by commas. Express your answers in radians per second sqaured to three significant figures.