A uniform square solid wooden gate of 5.00 kg, 2.00 m on each side suspends vertically from a frictionless pivot at the center of the upper edge. A raven of 1.10 kg flying horizontally at 5.00 m/s flies into this door at its center and bounces back at 1.50m/s in the opposite direction.
Determine the angular speed of the gate just after it is struck through the unfortunate raven?