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Answer:
The angular velocity is
Explanation:
From the question we are told that
The mass of wooden gate is
The length of side is L = 2 m
The mass of the raven is
The initial speed of the raven is
The final speed of the raven is
From the law of conservation of angular momentum we express this question mathematically as
Total initial angular momentum of both the Raven and the Gate = The Final angular momentum of both the Raven and the Gate
The initial angular momentum of the Raven is
Note: the length is half because the Raven hit the gate at the mid point
The initial angular momentum of the Gate is zero
Note: This above is the generally formula for angular momentum of square objects
The final angular velocity of the Raven is
The final angular velocity of the Gate is
Substituting this formula
Where is the angular velocity
Substituting value