3) (6 points) A uniform trapdoor shown below is 1.0 m by 1.5 m and weighs 300 N. It is supported by a single hinge (H), and by a light rope tied between the middle of the door and the floor. The door is held at the position shown, where its slab makes a 30 angle with the horizontal floor and the rope makes a 20 angle with the floor. Note: this is a problem from your textbook that has the final answer in the "back" of the book. 1.0 m 1.5 m 30 200 H A. Draw an extended free body diagram for the trapdoor B. Find the tension in the rope and the force at the hinge