Problem $1.$ The slender rod $($mass $\backslash ($ m $\backslash ),$ length $\backslash ($ L $\backslash ))$ has a particle $($mass $2$ m $)$ attached to one end. The body is initially at rest in the vertical position shown on the left. Then it is pushed clockwise with a negligible force. For the instant when the rod is in the horizontal position, shown on the right, calculate:

$($a$)$ The angular speed $\backslash (\backslash$omega $\backslash ).$

$($b$)$ The angular acceleration $\backslash (\backslash$alpha $\backslash )$

$($c$)$ The force on the bearing.

Initial position, $\backslash (\backslash$omega$=0,\backslash$alpha$=0\backslash )$ force on bearing $\backslash (=\backslash )?$