PROBLEMS TO BE WRITTEN UP AND TURNED IN AT RECITATION

     These problems are due at your first recitation meeting after Mon 11/07.
     Each problem should be written on a single sheet of paper (you may use 
     front and back if necessary); the two sheets should then be stapled 
     together.  Please order your sheets in the order below.  For full credit, 
     the work must be neat, with clearly-labeled diagrams.  A free-body 
     diagram is required for the second problem.  The diagram labels must be 
     in BOTH words and symbols.  You must BRIEFLY explain your strategy in 
     words, as well as neatly showing your physics equations and math, with 
     proper units. (10 points each)
     
     HRW PROBLEM SUPPLEMENT #1 - CHAPTER 12
      2. Consider a 66 cm diameter tire on a car traveling at
         80 km/h on a level road in the positive direction of the
         x axis.  Relative to a woman in the car, what are (a) the
         linear velocity v (a vector) and (b) the magnitude a of
         the linear acceleration of the center of the wheel? What
         are (c) v (a vector) and (d) a for a point at the top of
         the tire?  What are (e) v (a vector) and (f) a for a point
         at the bottom of the tire? Now repeat the questions
         relative to a hitchhiker sitting near the road:  What are
         (g) v (a vector) at the wheel's center, (h) a at the wheel's
         center, (i) v (a vector) at the tire top, (j) a at the tire
         top, (k) v (a vector) at the tire bottom, and (l) a at the
         tire bottom?

     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 (so 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, in which direction will the yo-yo roll (towards the 
         puller or away from the puller)?  (b) What is the maximum value 
         of F for which the yo-yo will roll without slipping?