# Hinge Velocities

A uniform rod of length $$\SI{1}{\metre}$$ is held horizontally attached with the help of a hinge on one of its end to the roof. After some time it is allowed to fall, find the angular speed (in $$\si[per-mode=symbol]{\radian \per \second}$$) of the rod when it becomes vertical.

Take the acceleration due to gravity to be $$10\text{ m/s}^2$$.