Conditions for static equilibrium: zr=0 ZFx=0 szzo Problem 1: You made a hanging mobile project with two ornaments like in the diagram below. The two ornaments are perfectly balanced but have different masses: m, and m2. Given the positionings in the image. answer the following questions 250m 1OOCm (a) What is the ratio of m1l'm2 so that the hanging mobile is in equilibrium? (b) If m, = 16kg, what is the mass of m2 for the hanging mobile to be in equilibrium? (c) Assume that m, = 13 kg and m2 = 5 kg, and we want to hang a third ornament. Without any calculations, where in relation to the suspension line do we need to hang the third ornament? (g=10m/sz) [ ]Left [ ]Right [ ] Under the suspension line [ ] Impossible to add a third ((1) Following from (c), calculate the torques so that we know for sure what the correct answer is. (e) At what specific distance from the suspension line should we place the third ornament if the third ornament is 10 kg? Part 1: Torque Concepts & Numerical Examples Equation for torque: T = rFsine (a) Rank the following scenarios in order of the magnitude of torque by editing the interactive diagram below. E O O Rank the following scenarios in order of the magnitude of torque by editing the interactive diagram below. = = > F 2F F F F (c) What direction are the six scenarios rotating in? *create text boxes in the interactive image that say clockwise or counterclockwise* F F F F 2F F F F O 2F F (d) You are attempting to tighten a bolt with a wrench. To tighten the bolt, a minimum of 9 Nm of torque needs to be applied. If you are able to apply 30 N of force perpendicular to the wrench, which of the following wrenches should you use? [ ] 15 cm wrench [ ] 25cm wrench [ ] 35cm wrench (e) A force F is perpendicularly applied to the tip of a handle of length R. Doing so causes the handle to experience torque z. Another person uses the handle but instead applies half the force at a point - R from the pivot point. What is the resulting torque in terms of r