Physics 1710.003 Fall 2006Examination 3Name: Student ID #: This test consists of 8 multiple-choice questions and 4 problems. To receive credit for the 4 problems, you must show all of your work on the pages provided. Don’t hand in any extra sheets or other paper. I strongly recommend that you also show your work for the multiple-choice questions. Suggested procedure for solving the problems: 1. Read each problem carefully and make sure you know what is being asked before starting the problem. 2. Draw a figure for the problem. 3. List the parameters given. 4. Write down the equations to be used. 5. Solve for the answer algebraically 6. Substitute numbers into you final equation and circle your answer. WORK THE EASY PROBLEMS FIRST!!
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1. (7 points) Three identical masses are located at the vertices of an equilateral triangle of side a= 2.00 m, oriented as shown in the figure. What is the xcoordinate of the center of mass of this system? a) 0.667 m b) 0.866 m c) 0.577 m d) 2.00 m e) 1.24 m 2. (7 points) Two uniform cylindrical disks, each of radius Rand mass M, are fastened rigidly edge-to-edge as shown in the figure. What is the moment of inertia of this system about an axis (indicated by the cross in the figure) through the center of one disk and perpendicular to the plane containing the disks? 3. (7 points) Consider a system of two interacting bodies that are otherwise isolated from the rest of the universe. Which of the following statements will always true for such a system?