Fall 2004 2.032 Dynamics Problem Set No. 6 Out: Wednesday, October 27, 2004 Due: Wednesday, November 3, 2004 Problem 1 Consider the two-dimensional rolling problem discussed in class (disk rolling on a plane, with its main axis of symmetry remaining parallel to the plane). (a)Show that two of the rolling constraints in this problem cannot be integrated to holonomic constraints. (b)Show that the above remains true even if we allow for an integrating factor.
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Problem 2 (adapted from Baruh, problem 4.3/4) The radar tracking of a moving vehicle by another moving vehicle is a common problem. Consider the two vehicles Aand Bin the figure shown below. The orientation of vehicle Amust always be toward vehicle B. Express the constraint relation between the velocities and distance between the two vehicles and determine whether this is a holonomic constraint or not. Figure by OCW. After 4.3/4 in Baruh, H. Analytical Dynamics. Boston MA: McGraw-Hill, 1999.