How Does Torque Affect the Acceleration of a Stick's Tip?

[LogicalTime]

my final result for the acceleration is:
$a_{r} = r\dot{ \theta}^2-g \cos( \theta)$
$a_{\theta} = r \ddot{ \theta } - g \sin( \theta)$

where
$\ddot{\theta} = \frac{\tau}{I}$[/QUOTE

at least the units match up now lol

 

[saltine]

If you did not put mg as part of the net torque, how do you cancel out the normal force from the hinge?