please make sure answers are correct .. most of the answers solved by coursehero tutors are incorrect... my quizzes need good grade this time and solve them on papers with pen so i can understand plus make sure to be good hand-writing that kids can understand ... don't use professional handwriting that looks like chicken feet scratches...

1. A motor boat with a weight W = 15000 lbs is entering a turn with bank 6 angle 0= 62" as shown. During the turn, the boat hull generates a normal force N that is 40% of the boat weight. Determine the vertical and horizontal components of this normal force. W 2. A box weighing 80 lbs. is being suspended by 2 ropes AC and AB as shown. The Rope AB is to remain in a horizontal position and Rope AC makes an angle 0 =320. What are the forces along the Ropes AB, AC if the box is to stay stationary. 3. An experimental aircraft design consists of tilted rotors in the front and back as shown. At this particular instant, the front rotors generated a combined thrust force IF = 8000/bs and are tilted backward at an angle OF = 80 . The rear rotors are tilted forward at an angle OR = 120 . Determine the rear rotors thrust force TR so that the aircraft will NOT travel forward or backward.4. Find the value of b so that the 2 vectors: A =(-6, b, 2) B = (b, b' , b) are perpendicular. 5. Find the direction angles for the vector with components: A = (a. 2a, 3a) where a is a constant. 6. The vertical tail of a helicopter is canted at an angle 0 = 20' as shown. The tail rotor generates a force F =6000lbs . Given the geometry as shown in the diagram, place the axis origin at point A and: a) Determine the force components b) Determine the position components 10 ft c) Determine the torque vector applied at Point A. A