Angular Collisions with Linear Motion - Online Tutor, Practice Problems & Exam Prep

Two rotating doors, each 4 kg in mass and 6 m long, are fixed to the same central axis of rotation, as shown above (top view). Suppose a 4 kg bird flying with 30 m/s horizontal collides against the door and stays stuck to it, at a point 50 cm from one end. Calculate the angular speed with which the system (doors + bird) spin together.

• A. 5.0 rad/s
• B. 6.12 rad/s
• C. 12.0 rad/s
• D. 36.0 rad/s