The thin uniform bar $\backslash ($ A B $\backslash )$ of mass $\backslash ($ m $\backslash )$ and length $\backslash ($ L $\backslash )$ hangs from a collar at $\backslash ($ A $\backslash ).$ Assume that the collar moves freely along the horizontal bar CD without any friction. Neglect the mass o the collar. The bar is released from rest at the angle $\backslash (\backslash$theta$=30^\{\backslash$circ$\}\backslash ).$

A$.$ Draw a free$-$body diagram for the bar $\backslash ($ A B $\backslash ).$

B$.$ Find the angular acceleration of the bar $\backslash ($ A B $\backslash ),$ the upward force on the bar at $\backslash ($ A $\backslash ),$ and the acceleration of end $\backslash ($ A $\backslash ).$

C$.$ Reflection: Using your intuition, what your direction do you expect the bar to angularly accelerate and for point A to accelerate? Explain whether the values you calculated match your intuition. If they do not match, can you figure out if it is your intuition or your calculations that is mistaken? Note that a clear explanation and genuine reflectior can earn full credit, even if your intuition and$/$or calculations are incorrect.

The force on the bar at $\backslash ($ A $\backslash )$ is

N$.$

The angular acceleration of the bar is

$7\mathrm{.}35$

$\backslash (\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash ),$ which is in the direction.

The linear acceleration of $\backslash ($ A $\backslash )$ is $\backslash (\backslash$mathrm$\{$m$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash ),$ which is to the