A driver starts his car with the door on the passengers side wide open (? = 0). The 36-kg door has a centroidal radius of gyration k = 250 mm, and its mass center is located at a distance r = 440 mm from its vertical axis of rotation. Knowing that the driver maintains a constant acceleration of 2 m/s2, determine the angular velocity of the door as it slams shut (? = 90?ø).
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