$(7$ points$)$ Sliding$\_$Ladder

Known values:

Problem Statement:

A ladder was set up on a surface with negligible friction $($floor and wall$).$ At the instant pictured, the ladder is sliding along the two surfaces with an angular velocity of $\backslash (1\mathrm{.}1\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The ladder can be treated as a slender rod. For the instant in question, determine the following:

Use rightward, upward, and counterclockwise as positive when entering your answers.

Answers:

The ladder's angular acceleration:

The horizontal acceleration component of the mass center:

The vertical acceleration component of the mass center:

The $($horizontal$)$ acceleration of point A:

The $($vertical$)$ acceleration of point B:

The $($vertical$)$ reaction at A :

The $($horizontal$)$ reaction at B :

Be sure to include units with your answers.