Rotational Motion AP Style Free Response Name 1. Students wlsh to determlne the moment of Inertia of a pulley. They cannot simply measure the mass and radius directly because it is attached to a stand and it does not have an average shape. a. Put a check next to each to the items that are needed for this investigation. _ Stopwatch _ Meter stick _ String _ Hanging masses _ Carts _ Track Motion sensor b. How would this equipment be used? What quantities would be measured? c. Describe an overall procedure for obtaining the necessary data to determine the moment of inertia of the pulley. Include a labeled diagram of your set up and enough detail so that someone else could carry out the procedure. d. When the students can'y out their experiment, they realize that there is signicant friction between the pulley and string. How will this source of error affect their answer? 2. Students in a lab are investigating the moments of inertia of various objects: a solid cylinder, a hollow cylinder, and a solid sphere. (All objects have the same mass.) They are given an inclined plane and have access to materials that are typically found in a high school lab. They need to nd and compare the moments of inertia of the three objects. 8. Describe your experimental setup and procedure, including any additional pieces of equipment you would need and the kind of data you would record. Include enough detail that another student could follow and complete the experiment successfully. b. Rank the moments of inertia for the three objects. _ Solid cylinder _ Hollow cylinder _ Solid sphere Briey explain your reasoning without deriving or using the exact expressions for the moments of inertia of the three objects. c. Which of the three objects would have the fastest speed at the bottom of the incline? Briefly explain your reasoning in terms of energy. 7. Awrench is used to loosen a bolt. The wrench can be pulled straight downwards with a force F at points A, B, C, or D. A B C D a. At which point is it easiest to turn the bolt? Explain your reasoning using words, not equations. b. The instant that the force is applied straight down, what type of acceleration is also straight down? Select one choice and explain your reasoning. centripetal acceleration tangential acceleration linear acceleration c. For A, B, C, and D, construct a graph of applied torque and angular acceleration. Which plot has the largest slope? The smallest slope? What value does the slope indicate? d. The wrench is replaced with a longer wrench, and is used to loosen the same bolt. Will this wrench require more or less force to turn the bolt? Explain