PROBLEMS TO BE WRITTEN UP AND TURNED IN AT RECITATION This problem is due at your first recitation meeting after MON 4/12. It should be written on a single sheet of paper (front and back), or if multiple sheets are used, staple them together. For full credit, the work must be neat, with clearly labeled free-body diagrams. The labels must be in BOTH words and symbols. For each part, you must BRIEFLY explain your strategy in words, as well as neatly showing your physics equations and math, with proper units. (40 points total) FISHBANE - CHAPTER 9 65. A yo-yo is made from two uniform disks, each with mass M/2 and radius R, connected by a light axle of radius r (R>r). Since the axle is nearly massless, the total mass of the yo-yo is M. A light, thin string is wound several times around the axle. The yo-yo is placed on a rough horizontal surface; the coefficient of static friction between the yo-yo and the surface is mu_s. The string is held so that it exits the yo-yo horizontally on the lower side of the stem. The string is then pulled horizontally with a force of magnitude F. (a) Assuming the yo-yo rolls without slipping, find the magnitude of the static frictional force on the yo-yo by the surface. (18 points) (b) Assuming the yo-yo rolls without slipping, find the acceleration of the center of mass of the yo-yo. State magnitude and direction. (12 points) (c) What is the maximum value of F for which the yo-yo will roll without slipping? (10 points)