A person who walks through the revolving door exerts a 90-N horizontal force on one of the four door panels and keeps the 15° angle constant relative to a line which is normal to the panel. If each panel is modeled by a 60-kg uniform rectangular plate which is 1.2 m in length as viewed from above, determine the final angular velocity w of the door if the person exerts the force for 3 seconds. The door is initially at rest and friction may be neglected.

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0.8 m 0.4 m 15°-