Force and Moments part #2 31 March 2014 Dr. Peter Tkacik Book problems page 359 modified slightly and due 7 April 2014 1. Define the transformation matrices required to convert data from the SAE Tire Axis System to the ISO Wheel Axis System. 2. What is the sense of the aligning moment and lateral force associated with a positive inclination angle in the ISO Wheel Axis System? 3. Due to the width of the tire to be tested and clearance problems with respect to the load cell system, a special adapter was manufactured to move the test wheel plane off-center with respect to the design wheel plane location for the force and moment machine. The assembly wheel plane is now 5 cm outboard (Y′+) of the location that the machine’s programming assumes to be the origin of the Tire Axis System. Derive the equations that properly express the data in the actual SAE Tire Axis System using the machine reported data as input. Be sure to assume that inclination angle is present. Review the definition of the origin of the Tire Axis System given in Section 8.1.1 before beginning this problem. 4. Write a Matlab program that transform the FY and MZ data used to generate figures 8.17 and 8.19 from the SAE Tire Axis System to the ISO Wheel Axis System. These data are for a constant FZ. The data are in the problem 4 data set. Problem 4: Data set: SA (deg) -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Fy (N) 5689 5602 5440 5306 5155 4917 4595 4124 3275 2006 242 -1588 -2966 -3893 -4397 -4744 -5000 -5101 -5248 -5357 -5455 Mz (Nm) -25 -34 -40 -52 -67 -83 -97 -117 -116 -79 -10 64 105 115 103 88 74 57 49 44 35