Instructions: Provide a detailed solution and box your final answer. No partial point if your answer has the correct value but has the wrong units. If you worked with a group, indicate beside your names the items you contributed to solving. 1. (5 pts) Consider a door with a width of 80. cm. What is the magnitude of the torque if you push it, perpendicularly from the door's surface, with 10. N of force at (a) 80. cm from the hinged side and (b) at 40.0 cm from the hinged side? 2. (15 pts) The drawing shows a person holding a straight arm plank position. In this position, she makes an angle of 12. from the horizontal. Her mass is 55. kg and her height is 165 cm. Her center of gravity (CG) is 90. cm from her feet, while her shoulder is 43.5 cm from her CG. The normal forces on her feet and palms will be transmitted as forces on her ankle and shoulder, respectively. Denote them as Fa and Fs, respectively, while her weight as w. (a) Draw the free-body diagram for this problem. (b) Using the first and second conditions of mechanical equilibrium, solve for F, and F. Figure from www.activebeat.com