Phenomenon: Designing a car door Now that you've learned about Angular Momentum and Torque, you've started noticing things that rotate, like car doors. You're sitting in your car and open the car door (see figure) pushing where the door handle is. The handle is located 0.5 meters away from the pivot point. You notice it takes a certain amount of forcef to get the car door rotating with a particular magnitude of angular velocity w so that the car door has enough angular momentum to open all the way (i.e. it doesn't fall back and close). Big question: Assuming that you want the car door to rotate with the same specific magnitude of angular velocity w as the scenario above, where should you place the door handle so you can use a force with less magnitude if you push for the same amount of time At? (Qualitative CER answer to the Big Question) Figure 1 below: y Axis of Rotation (Pivot Point X Door Handle ZFigure 2 below: y Time 1 Time 2 2 Pivot point Pivot point Use what you've learned in PHYS 2A so far to analyze the scenario qualitatively: 1. Create two models of the car door (1) for the car door as shown in the figure and (2) for your redesigned car door. For each model: a. Choose an appropriate timeline b. Draw a complete extended force diagram and explicitly show directions of relevant torques using the perspective shown in Figure 2. c. Draw a complete Angular Momentum Chart with vectors that show length using the perspective shown in Figure 1. d. Write out as many relevant Algebraic Vector Angular Momentum(a) Equation(s) as necessary Use variables when relevant numerical values are needed. 2. Answer the Big Question using the CER framework a. Be sure to cite your models as evidence in your argument