Physics 1710.003
Fall 2006
Examination 3
Name:
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
x
coordinate 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
R
and 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?